diff --git a/core/math/rect2.h b/core/math/rect2.h
index e4ea615c22c..3b9660e2f07 100644
--- a/core/math/rect2.h
+++ b/core/math/rect2.h
@@ -47,28 +47,26 @@ struct Rect2 {
 
 	real_t get_area() const { return size.width * size.height; }
 
-	inline bool intersects(const Rect2 &p_rect) const {
-		if (position.x >= (p_rect.position.x + p_rect.size.width))
-			return false;
-		if ((position.x + size.width) <= p_rect.position.x)
-			return false;
-		if (position.y >= (p_rect.position.y + p_rect.size.height))
-			return false;
-		if ((position.y + size.height) <= p_rect.position.y)
-			return false;
-
-		return true;
-	}
-
-	inline bool intersects_touch(const Rect2 &p_rect) const {
-		if (position.x > (p_rect.position.x + p_rect.size.width))
-			return false;
-		if ((position.x + size.width) < p_rect.position.x)
-			return false;
-		if (position.y > (p_rect.position.y + p_rect.size.height))
-			return false;
-		if ((position.y + size.height) < p_rect.position.y)
-			return false;
+	inline bool intersects(const Rect2 &p_rect, const bool p_include_borders = false) const {
+		if (p_include_borders) {
+			if (position.x > (p_rect.position.x + p_rect.size.width))
+				return false;
+			if ((position.x + size.width) < p_rect.position.x)
+				return false;
+			if (position.y > (p_rect.position.y + p_rect.size.height))
+				return false;
+			if ((position.y + size.height) < p_rect.position.y)
+				return false;
+		} else {
+			if (position.x >= (p_rect.position.x + p_rect.size.width))
+				return false;
+			if ((position.x + size.width) <= p_rect.position.x)
+				return false;
+			if (position.y >= (p_rect.position.y + p_rect.size.height))
+				return false;
+			if ((position.y + size.height) <= p_rect.position.y)
+				return false;
+		}
 
 		return true;
 	}
diff --git a/core/variant_call.cpp b/core/variant_call.cpp
index 9cc08b54e68..99cfc7ed3c3 100644
--- a/core/variant_call.cpp
+++ b/core/variant_call.cpp
@@ -391,7 +391,7 @@ struct _VariantCall {
 	VCALL_LOCALMEM0R(Rect2, has_no_area);
 	VCALL_LOCALMEM1R(Rect2, has_point);
 	VCALL_LOCALMEM1R(Rect2, is_equal_approx);
-	VCALL_LOCALMEM1R(Rect2, intersects);
+	VCALL_LOCALMEM2R(Rect2, intersects);
 	VCALL_LOCALMEM1R(Rect2, encloses);
 	VCALL_LOCALMEM1R(Rect2, clip);
 	VCALL_LOCALMEM1R(Rect2, merge);
@@ -1834,7 +1834,7 @@ void register_variant_methods() {
 	ADDFUNC0R(RECT2, BOOL, Rect2, has_no_area, varray());
 	ADDFUNC1R(RECT2, BOOL, Rect2, has_point, VECTOR2, "point", varray());
 	ADDFUNC1R(RECT2, BOOL, Rect2, is_equal_approx, RECT2, "rect", varray());
-	ADDFUNC1R(RECT2, BOOL, Rect2, intersects, RECT2, "b", varray());
+	ADDFUNC2R(RECT2, BOOL, Rect2, intersects, RECT2, "b", BOOL, "include_borders", varray(false));
 	ADDFUNC1R(RECT2, BOOL, Rect2, encloses, RECT2, "b", varray());
 	ADDFUNC1R(RECT2, RECT2, Rect2, clip, RECT2, "b", varray());
 	ADDFUNC1R(RECT2, RECT2, Rect2, merge, RECT2, "b", varray());
diff --git a/doc/classes/Rect2.xml b/doc/classes/Rect2.xml
index 26abfb538bd..dbf461cdf15 100644
--- a/doc/classes/Rect2.xml
+++ b/doc/classes/Rect2.xml
@@ -143,8 +143,11 @@
 			</return>
 			<argument index="0" name="b" type="Rect2">
 			</argument>
+			<argument index="1" name="include_borders" type="bool" default="false">
+			</argument>
 			<description>
-				Returns [code]true[/code] if the [Rect2] overlaps with another.
+				Returns [code]true[/code] if the [Rect2] overlaps with [code]b[/code] (i.e. they have at least one point in common).
+				If [code]include_borders[/code] is [code]true[/code], they will also be considered overlapping if their borders touch, even without intersection.
 			</description>
 		</method>
 		<method name="is_equal_approx">
diff --git a/servers/visual/visual_server_canvas.cpp b/servers/visual/visual_server_canvas.cpp
index c1833fea44c..c192b779884 100644
--- a/servers/visual/visual_server_canvas.cpp
+++ b/servers/visual/visual_server_canvas.cpp
@@ -183,7 +183,7 @@ void VisualServerCanvas::_cull_canvas_item(Item *p_canvas_item, const Transform2
 		VisualServerRaster::redraw_request();
 	}
 
-	if ((ci->commands != NULL && p_clip_rect.intersects_touch(global_rect)) || ci->vp_render || ci->copy_back_buffer) {
+	if ((ci->commands != NULL && p_clip_rect.intersects(global_rect, true)) || ci->vp_render || ci->copy_back_buffer) {
 		//something to draw?
 		ci->final_transform = xform;
 		ci->final_modulate = Color(modulate.r * ci->self_modulate.r, modulate.g * ci->self_modulate.g, modulate.b * ci->self_modulate.b, modulate.a * ci->self_modulate.a);