diff --git a/packages/flutter/lib/src/material/refresh_indicator.dart b/packages/flutter/lib/src/material/refresh_indicator.dart
index 39ce3646b6c..9755c3e3abf 100644
--- a/packages/flutter/lib/src/material/refresh_indicator.dart
+++ b/packages/flutter/lib/src/material/refresh_indicator.dart
@@ -47,6 +47,17 @@ enum _RefreshIndicatorMode {
   canceled, // Animating the indicator's fade-out after not arming.
 }
 
+/// Used to configure how [RefreshIndicator] can be triggered.
+enum RefreshIndicatorTriggerMode {
+  /// The indicator can be triggered regardless of the scroll position
+  /// of the [Scrollable] when the drag starts.
+  anywhere,
+
+  /// The indicator can only be triggered if the [Scrollable] is at the edge
+  /// when the drag starts.
+  onEdge,
+}
+
 /// A widget that supports the Material "swipe to refresh" idiom.
 ///
 /// When the child's [Scrollable] descendant overscrolls, an animated circular
@@ -56,6 +67,8 @@ enum _RefreshIndicatorMode {
 /// scrollable's contents and then complete the [Future] it returns. The refresh
 /// indicator disappears after the callback's [Future] has completed.
 ///
+/// The trigger mode is configured by [RefreshIndicator.triggerMode].
+///
 /// ## Troubleshooting
 ///
 /// ### Refresh indicator does not show up
@@ -106,11 +119,13 @@ class RefreshIndicator extends StatefulWidget {
     this.notificationPredicate = defaultScrollNotificationPredicate,
     this.semanticsLabel,
     this.semanticsValue,
-    this.strokeWidth = 2.0
+    this.strokeWidth = 2.0,
+    this.triggerMode = RefreshIndicatorTriggerMode.onEdge,
   }) : assert(child != null),
        assert(onRefresh != null),
        assert(notificationPredicate != null),
        assert(strokeWidth != null),
+       assert(triggerMode != null),
        super(key: key);
 
   /// The widget below this widget in the tree.
@@ -160,6 +175,21 @@ class RefreshIndicator extends StatefulWidget {
   /// By default, the value of `strokeWidth` is 2.0 pixels.
   final double strokeWidth;
 
+  /// Defines how this [RefreshIndicator] can be triggered when users overscroll.
+  ///
+  /// The [RefreshIndicator] can be pulled out in two cases,
+  /// 1, Keep dragging if the scrollable widget at the edge with zero scroll position
+  ///    when the drag starts.
+  /// 2, Keep dragging after overscroll occurs if the scrollable widget has
+  ///    a non-zero scroll position when the drag starts.
+  ///
+  /// If this is [RefreshIndicatorTriggerMode.anywhere], both of the cases above can be triggered.
+  ///
+  /// If this is [RefreshIndicatorTriggerMode.onEdge], only case 1 can be triggered.
+  ///
+  /// Defaults to [RefreshIndicatorTriggerMode.onEdge].
+  final RefreshIndicatorTriggerMode triggerMode;
+
   @override
   RefreshIndicatorState createState() => RefreshIndicatorState();
 }
@@ -215,12 +245,17 @@ class RefreshIndicatorState extends State<RefreshIndicator> with TickerProviderS
     super.dispose();
   }
 
+  bool _shouldStart(ScrollNotification notification) {
+    return (notification is ScrollStartNotification || (notification is ScrollUpdateNotification && notification.dragDetails != null && widget.triggerMode == RefreshIndicatorTriggerMode.anywhere))
+      && notification.metrics.extentBefore == 0.0
+      && _mode == null
+      && _start(notification.metrics.axisDirection);
+  }
+
   bool _handleScrollNotification(ScrollNotification notification) {
     if (!widget.notificationPredicate(notification))
       return false;
-    if ((notification is ScrollStartNotification || notification is ScrollUpdateNotification) &&
-        notification.metrics.extentBefore == 0.0 &&
-        _mode == null && _start(notification.metrics.axisDirection)) {
+    if (_shouldStart(notification)) {
       setState(() {
         _mode = _RefreshIndicatorMode.drag;
       });
diff --git a/packages/flutter/test/material/refresh_indicator_test.dart b/packages/flutter/test/material/refresh_indicator_test.dart
index aa4e33f09b3..781e10350df 100644
--- a/packages/flutter/test/material/refresh_indicator_test.dart
+++ b/packages/flutter/test/material/refresh_indicator_test.dart
@@ -501,7 +501,115 @@ void main() {
     );
   });
 
-  testWidgets('Top RefreshIndicator showed when dragging from non-zero scroll position', (WidgetTester tester) async {
+  testWidgets('Top RefreshIndicator(anywhere mode) should be shown when dragging from non-zero scroll position', (WidgetTester tester) async {
+    refreshCalled = false;
+    final ScrollController scrollController = ScrollController();
+    await tester.pumpWidget(
+      MaterialApp(
+        home: RefreshIndicator(
+          triggerMode: RefreshIndicatorTriggerMode.anywhere,
+          onRefresh: holdRefresh,
+          child: ListView(
+            controller: scrollController,
+            physics: const AlwaysScrollableScrollPhysics(),
+            children: const <Widget>[
+              SizedBox(
+                height: 200.0,
+                child: Text('X'),
+              ),
+              SizedBox(
+                height: 800.0,
+                child: Text('Y'),
+              ),
+            ],
+          ),
+        ),
+      ),
+    );
+
+    scrollController.jumpTo(50.0);
+
+    await tester.fling(find.text('X'), const Offset(0.0, 300.0), 1000.0);
+    await tester.pump();
+    await tester.pump(const Duration(seconds: 1)); // finish the scroll animation
+    await tester.pump(const Duration(seconds: 1)); // finish the indicator settle animation
+    expect(tester.getCenter(find.byType(RefreshProgressIndicator)).dy, lessThan(300.0));
+  });
+
+  testWidgets('Bottom RefreshIndicator(anywhere mode) should be shown when dragging from non-zero scroll position', (WidgetTester tester) async {
+    refreshCalled = false;
+    final ScrollController scrollController = ScrollController();
+    await tester.pumpWidget(
+      MaterialApp(
+        home: RefreshIndicator(
+          triggerMode: RefreshIndicatorTriggerMode.anywhere,
+          onRefresh: holdRefresh,
+          child: ListView(
+            reverse: true,
+            controller: scrollController,
+            physics: const AlwaysScrollableScrollPhysics(),
+            children: const <Widget>[
+              SizedBox(
+                height: 200.0,
+                child: Text('X'),
+              ),
+              SizedBox(
+                height: 800.0,
+                child: Text('Y'),
+              ),
+            ],
+          ),
+        ),
+      ),
+    );
+
+    scrollController.jumpTo(50.0);
+
+    await tester.fling(find.text('X'), const Offset(0.0, -300.0), 1000.0);
+    await tester.pump();
+    await tester.pump(const Duration(seconds: 1)); // finish the scroll animation
+    await tester.pump(const Duration(seconds: 1)); // finish the indicator settle animation
+    expect(tester.getCenter(find.byType(RefreshProgressIndicator)).dy, greaterThan(300.0));
+  });
+
+  // Regression test for https://github.com/flutter/flutter/issues/71936
+  testWidgets('RefreshIndicator(anywhere mode) should not be shown when overscroll occurs due to inertia', (WidgetTester tester) async {
+    refreshCalled = false;
+    final ScrollController scrollController = ScrollController();
+    await tester.pumpWidget(
+      MaterialApp(
+        home: RefreshIndicator(
+          triggerMode: RefreshIndicatorTriggerMode.anywhere,
+          onRefresh: holdRefresh,
+          child: ListView(
+            controller: scrollController,
+            physics: const AlwaysScrollableScrollPhysics(),
+            children: const <Widget>[
+              SizedBox(
+                height: 200.0,
+                child: Text('X'),
+              ),
+              SizedBox(
+                height: 2000.0,
+                child: Text('Y'),
+              ),
+            ],
+          ),
+        ),
+      ),
+    );
+
+    scrollController.jumpTo(100.0);
+
+    // Release finger before reach the edge.
+    await tester.fling(find.text('X'), const Offset(0.0, 99.0), 1000.0);
+    await tester.pump();
+    await tester.pump(const Duration(seconds: 1)); // finish the scroll animation
+    await tester.pump(const Duration(seconds: 1)); // finish the indicator settle animation
+    expect(find.byType(RefreshProgressIndicator), findsNothing);
+  });
+
+  testWidgets('Top RefreshIndicator(onEdge mode) should not be shown when dragging from non-zero scroll position', (WidgetTester tester) async {
     refreshCalled = false;
     final ScrollController scrollController = ScrollController();
     await tester.pumpWidget(
@@ -532,10 +640,10 @@ void main() {
     await tester.pump();
     await tester.pump(const Duration(seconds: 1)); // finish the scroll animation
     await tester.pump(const Duration(seconds: 1)); // finish the indicator settle animation
-    expect(tester.getCenter(find.byType(RefreshProgressIndicator)).dy, lessThan(300.0));
+    expect(find.byType(RefreshProgressIndicator), findsNothing);
   });
 
-  testWidgets('Bottom RefreshIndicator showed when dragging from non-zero scroll position', (WidgetTester tester) async {
+  testWidgets('Bottom RefreshIndicator(onEdge mode) should be shown when dragging from non-zero scroll position', (WidgetTester tester) async {
     refreshCalled = false;
     final ScrollController scrollController = ScrollController();
     await tester.pumpWidget(
@@ -567,6 +675,6 @@ void main() {
     await tester.pump();
     await tester.pump(const Duration(seconds: 1)); // finish the scroll animation
     await tester.pump(const Duration(seconds: 1)); // finish the indicator settle animation
-    expect(tester.getCenter(find.byType(RefreshProgressIndicator)).dy, greaterThan(300.0));
+    expect(find.byType(RefreshProgressIndicator), findsNothing);
   });
 }