diff --git a/packages/turf-line-overlap/index.ts b/packages/turf-line-overlap/index.ts
index 6b1d1f8561..0e8bd96cf2 100644
--- a/packages/turf-line-overlap/index.ts
+++ b/packages/turf-line-overlap/index.ts
@@ -4,6 +4,7 @@ import { nearestPointOnLine } from "@turf/nearest-point-on-line";
 import { booleanPointOnLine } from "@turf/boolean-point-on-line";
 import { getCoords } from "@turf/invariant";
 import { featureEach, segmentEach } from "@turf/meta";
+import { bbox } from "@turf/bbox";
 import {
   FeatureCollection,
   Feature,
@@ -69,6 +70,11 @@ function lineOverlap<
       return;
     }
 
+    // Expand segment bounding box by the tolerance to create overlap in horizontal/vertical segments
+    var bb = bbox(segment);
+    bb = [bb[0]-tolerance, bb[1]-tolerance, bb[2]+tolerance, bb[3]+tolerance];
+    segment.bbox = bb;
+    
     // Iterate over each segments which falls within the same bounds
     featureEach(tree.search(segment), function (match) {
       if (doesOverlaps === false) {
diff --git a/packages/turf-line-overlap/package.json b/packages/turf-line-overlap/package.json
index 6b96d4c0bc..904419af72 100644
--- a/packages/turf-line-overlap/package.json
+++ b/packages/turf-line-overlap/package.json
@@ -4,7 +4,7 @@
   "description": "Takes any LineString or Polygon and returns the overlapping lines between both features.",
   "author": "Turf Authors",
   "contributors": [
-    "Denis Carriere <@DenisCarriere>"
+    "Denis Carriere <@DenisCarriere>", "Johannes Novotny <@jonovotny>"
   ],
   "license": "MIT",
   "bugs": {
@@ -66,6 +66,7 @@
     "write-json-file": "^6.0.0"
   },
   "dependencies": {
+    "@turf/bbox": "workspace:*",
     "@turf/boolean-point-on-line": "workspace:*",
     "@turf/geojson-rbush": "workspace:*",
     "@turf/helpers": "workspace:*",
diff --git a/packages/turf-line-overlap/test/in/issue-#2582.geojson b/packages/turf-line-overlap/test/in/issue-#2582.geojson
new file mode 100644
index 0000000000..daa3c61919
--- /dev/null
+++ b/packages/turf-line-overlap/test/in/issue-#2582.geojson
@@ -0,0 +1,56 @@
+{
+  "type": "FeatureCollection",
+  "properties": {
+    "tolerance": 0.5
+  },
+  "features": [
+    {
+      "type": "Feature",
+      "properties": {
+        "stroke": "#F00",
+        "fill": "#F00",
+        "stroke-width": 10,
+        "stroke-opacity": 1,
+        "fill-opacity": 0.1,
+        "description": "triangle with one horizontal and one vertical side"
+      },
+      "geometry": {
+        "type": "Polygon",
+        "coordinates": [
+          [
+            [-75.17098005568795, 25.347140710069592],
+            [-74.06346334926921, 25.347140710069592],
+            [-74.06346334926921, 26.453856979730748],
+            [-75.17098005568795, 25.347140710069592]
+          ]
+        ]
+      }
+    },
+    {
+      "type": "Feature",
+      "properties": {
+        "stroke": "#00F",
+        "fill": "#00F",
+        "stroke-width": 3,
+        "stroke-opacity": 1,
+        "fill-opacity": 0.1,
+        "description": "polygon with segments parallel to the horizontal and vertical sides of the triangle, offset within overlap tolerance."
+      },
+      "geometry": {
+        "type": "Polygon",
+        "coordinates": [
+          [
+            [-75.77433328502653, 24.801355223074808],
+            [-75.09510282010693, 25.344703228173987],
+            [-74.22891563805884, 25.344703228173987],
+            [-74.05974780288312, 25.19753021415865],
+            [-74.05974780288312, 26.642828790428396],
+            [-73.31725580493922, 27.286000671432706],
+            [-73.31725580493922, 24.80135522307481],
+            [-75.77433328502653, 24.801355223074808]
+          ]
+        ]
+      }
+    }
+  ]
+}
diff --git a/packages/turf-line-overlap/test/out/issue-#2582.geojson b/packages/turf-line-overlap/test/out/issue-#2582.geojson
new file mode 100644
index 0000000000..3ec1ec3a04
--- /dev/null
+++ b/packages/turf-line-overlap/test/out/issue-#2582.geojson
@@ -0,0 +1,144 @@
+{
+	"type": "FeatureCollection",
+	"features": [
+		{
+			"type": "Feature",
+			"properties": {
+				"stroke": "#0F0",
+				"fill": "#0F0",
+				"stroke-width": 25
+			},
+			"geometry": {
+				"type": "LineString",
+				"coordinates": [
+					[
+						-74.22891563805884,
+						25.344703228173987
+					],
+					[
+						-75.09510282010693,
+						25.344703228173987
+					]
+				]
+			},
+			"bbox": [
+				-75.59510282010693,
+				24.844703228173987,
+				-73.72891563805884,
+				25.844703228173987
+			]
+		},
+		{
+			"type": "Feature",
+			"properties": {
+				"stroke": "#0F0",
+				"fill": "#0F0",
+				"stroke-width": 25
+			},
+			"geometry": {
+				"type": "LineString",
+				"coordinates": [
+					[
+						-74.06346334926921,
+						25.347140710069592
+					],
+					[
+						-74.06346334926921,
+						26.453856979730748
+					]
+				]
+			},
+			"bbox": [
+				-74.06346334926921,
+				25.347140710069592,
+				-74.06346334926921,
+				26.453856979730748
+			],
+			"id": 1
+		},
+		{
+			"type": "Feature",
+			"properties": {
+				"stroke": "#F00",
+				"fill": "#F00",
+				"stroke-width": 10,
+				"stroke-opacity": 1,
+				"fill-opacity": 0.1,
+				"description": "triangle with one horizontal and one vertical side"
+			},
+			"geometry": {
+				"type": "Polygon",
+				"coordinates": [
+					[
+						[
+							-75.17098005568795,
+							25.347140710069592
+						],
+						[
+							-74.06346334926921,
+							25.347140710069592
+						],
+						[
+							-74.06346334926921,
+							26.453856979730748
+						],
+						[
+							-75.17098005568795,
+							25.347140710069592
+						]
+					]
+				]
+			}
+		},
+		{
+			"type": "Feature",
+			"properties": {
+				"stroke": "#00F",
+				"fill": "#00F",
+				"stroke-width": 3,
+				"stroke-opacity": 1,
+				"fill-opacity": 0.1,
+				"description": "polygon with segments parallel to the horizontal and vertical sides of the triangle, offset within overlap tolerance."
+			},
+			"geometry": {
+				"type": "Polygon",
+				"coordinates": [
+					[
+						[
+							-75.77433328502653,
+							24.801355223074808
+						],
+						[
+							-75.09510282010693,
+							25.344703228173987
+						],
+						[
+							-74.22891563805884,
+							25.344703228173987
+						],
+						[
+							-74.05974780288312,
+							25.19753021415865
+						],
+						[
+							-74.05974780288312,
+							26.642828790428396
+						],
+						[
+							-73.31725580493922,
+							27.286000671432706
+						],
+						[
+							-73.31725580493922,
+							24.80135522307481
+						],
+						[
+							-75.77433328502653,
+							24.801355223074808
+						]
+					]
+				]
+			}
+		}
+	]
+}