diff --git a/src/objects/BatchedMesh.js b/src/objects/BatchedMesh.js
index 4e33f27754713e..5dca90f30f6de1 100644
--- a/src/objects/BatchedMesh.js
+++ b/src/objects/BatchedMesh.js
@@ -1513,7 +1513,19 @@ class BatchedMesh extends Mesh {
 		// the indexed version of the multi draw function requires specifying the start
 		// offset in bytes.
 		const index = geometry.getIndex();
-		const bytesPerElement = index === null ? 1 : index.array.BYTES_PER_ELEMENT;
+		let bytesPerElement = index === null ? 1 : index.array.BYTES_PER_ELEMENT;
+
+
+		// the "wireframe" attribute implicitly creates a line attribute in the renderer, which is double
+		// the vertices to draw (3 lines per triangle) so we multiply the draw counts / starts and make
+		// assumptions about the index buffer byte size.
+		let multiDrawMultiplier = 1;
+		if ( material.wireframe ) {
+
+			multiDrawMultiplier = 2;
+			bytesPerElement = geometry.attributes.position.count > 65535 ? 4 : 2;
+
+		}
 
 		const instanceInfo = this._instanceInfo;
 		const multiDrawStarts = this._multiDrawStarts;
@@ -1594,8 +1606,8 @@ class BatchedMesh extends Mesh {
 			for ( let i = 0, l = list.length; i < l; i ++ ) {
 
 				const item = list[ i ];
-				multiDrawStarts[ multiDrawCount ] = item.start * bytesPerElement;
-				multiDrawCounts[ multiDrawCount ] = item.count;
+				multiDrawStarts[ multiDrawCount ] = item.start * bytesPerElement * multiDrawMultiplier;
+				multiDrawCounts[ multiDrawCount ] = item.count * multiDrawMultiplier;
 				indirectArray[ multiDrawCount ] = item.index;
 				multiDrawCount ++;
 
@@ -1625,8 +1637,8 @@ class BatchedMesh extends Mesh {
 					if ( ! culled ) {
 
 						const geometryInfo = geometryInfoList[ geometryId ];
-						multiDrawStarts[ multiDrawCount ] = geometryInfo.start * bytesPerElement;
-						multiDrawCounts[ multiDrawCount ] = geometryInfo.count;
+						multiDrawStarts[ multiDrawCount ] = geometryInfo.start * bytesPerElement * multiDrawMultiplier;
+						multiDrawCounts[ multiDrawCount ] = geometryInfo.count * multiDrawMultiplier;
 						indirectArray[ multiDrawCount ] = i;
 						multiDrawCount ++;
 
diff --git a/src/renderers/common/Geometries.js b/src/renderers/common/Geometries.js
index edac9a4fa1082b..eb332c41588292 100644
--- a/src/renderers/common/Geometries.js
+++ b/src/renderers/common/Geometries.js
@@ -1,6 +1,5 @@
 import DataMap from './DataMap.js';
 import { AttributeType } from './Constants.js';
-import { arrayNeedsUint32 } from '../../utils.js';
 
 import { Uint16BufferAttribute, Uint32BufferAttribute } from '../../core/BufferAttribute.js';
 
@@ -77,7 +76,7 @@ function getWireframeIndex( geometry ) {
 
 	}
 
-	const attribute = new ( arrayNeedsUint32( indices ) ? Uint32BufferAttribute : Uint16BufferAttribute )( indices, 1 );
+	const attribute = new ( geometryPosition.count >= 65535 ? Uint32BufferAttribute : Uint16BufferAttribute )( indices, 1 );
 	attribute.version = getWireframeVersion( geometry );
 	attribute.__id = getWireframeId( geometry );
 
diff --git a/src/renderers/webgl/WebGLGeometries.js b/src/renderers/webgl/WebGLGeometries.js
index c28d0feacd47cf..d89b220b9345c5 100644
--- a/src/renderers/webgl/WebGLGeometries.js
+++ b/src/renderers/webgl/WebGLGeometries.js
@@ -1,5 +1,4 @@
 import { Uint16BufferAttribute, Uint32BufferAttribute } from '../../core/BufferAttribute.js';
-import { arrayNeedsUint32 } from '../../utils.js';
 
 function WebGLGeometries( gl, attributes, info, bindingStates ) {
 
@@ -85,6 +84,12 @@ function WebGLGeometries( gl, attributes, info, bindingStates ) {
 		const geometryPosition = geometry.attributes.position;
 		let version = 0;
 
+		if ( geometryPosition === undefined ) {
+
+			return;
+
+		}
+
 		if ( geometryIndex !== null ) {
 
 			const array = geometryIndex.array;
@@ -100,7 +105,7 @@ function WebGLGeometries( gl, attributes, info, bindingStates ) {
 
 			}
 
-		} else if ( geometryPosition !== undefined ) {
+		} else {
 
 			const array = geometryPosition.array;
 			version = geometryPosition.version;
@@ -115,13 +120,11 @@ function WebGLGeometries( gl, attributes, info, bindingStates ) {
 
 			}
 
-		} else {
-
-			return;
-
 		}
 
-		const attribute = new ( arrayNeedsUint32( indices ) ? Uint32BufferAttribute : Uint16BufferAttribute )( indices, 1 );
+		// check whether a 32 bit or 16 bit buffer is required to store the indices
+		// account for PRIMITIVE_RESTART_FIXED_INDEX, #24565
+		const attribute = new ( geometryPosition.count >= 65535 ? Uint32BufferAttribute : Uint16BufferAttribute )( indices, 1 );
 		attribute.version = version;
 
 		// Updating index buffer in VAO now. See WebGLBindingStates
diff --git a/src/renderers/webgpu/WebGPUBackend.js b/src/renderers/webgpu/WebGPUBackend.js
index 224b2782e6121d..9370928ff49c02 100644
--- a/src/renderers/webgpu/WebGPUBackend.js
+++ b/src/renderers/webgpu/WebGPUBackend.js
@@ -1596,6 +1596,14 @@ class WebGPUBackend extends Backend {
 
 				}
 
+				let bytesPerElement = ( hasIndex === true ) ? index.array.BYTES_PER_ELEMENT : 1;
+
+				if ( material.wireframe ) {
+
+					bytesPerElement = object.geometry.attributes.position.count > 65535 ? 4 : 2;
+
+				}
+
 				for ( let i = 0; i < drawCount; i ++ ) {
 
 					const count = drawInstances ? drawInstances[ i ] : 1;
@@ -1603,7 +1611,7 @@ class WebGPUBackend extends Backend {
 
 					if ( hasIndex === true ) {
 
-						passEncoderGPU.drawIndexed( counts[ i ], count, starts[ i ] / index.array.BYTES_PER_ELEMENT, 0, firstInstance );
+						passEncoderGPU.drawIndexed( counts[ i ], count, starts[ i ] / bytesPerElement, 0, firstInstance );
 
 					} else {