diff --git a/contribs/gmf/src/datasource/ExternalDataSourcesManager.js b/contribs/gmf/src/datasource/ExternalDataSourcesManager.js
index 7d6a01b3b14b..b7cd4cfaec91 100644
--- a/contribs/gmf/src/datasource/ExternalDataSourcesManager.js
+++ b/contribs/gmf/src/datasource/ExternalDataSourcesManager.js
@@ -15,6 +15,7 @@ import ngeoDatasourceOGC from 'ngeo/datasource/OGC.js';
 import ngeoDatasourceOGCGroup from 'ngeo/datasource/OGCGroup.js';
 import ngeoDatasourceWMSGroup from 'ngeo/datasource/WMSGroup.js';
 import * as olBase from 'ol/index.js';
+import {isEmpty} from 'ol/extent.js';
 import * as olEvents from 'ol/events.js';
 import olCollection from 'ol/Collection.js';
 import olFormatGPX from 'ol/format/GPX.js';
@@ -471,29 +472,34 @@ const exports = class {
   createAndAddDataSourceFromFile(file, opt_callback) {
     this.getFileDataSource_(file).then(
       (dataSource) => {
+        let success = true;
         const fileGroup = this.fileGroup_;
 
-        // (1) No need to do anything if the file has already been added...
-        if (fileGroup.dataSources.includes(dataSource)) {
-          return;
-        }
+        // Look if the extent is valid (and so at least one geometry)
+        if (isEmpty(dataSource.extent)) {
+          success = false;
 
-        // (2) Okay, we need to add this data source. First, add its layer
-        //     to the map.
-        this.addLayer_(dataSource.layer);
+        } else {
+          // (1) No need to do anything if the file has already been added...
+          if (fileGroup.dataSources.includes(dataSource)) {
+            return;
+          }
 
-        // (3) Add it to the file group
-        fileGroup.addDataSource(dataSource);
+          // (2) Okay, we need to add this data source. First, add its layer  to the map.
+          this.addLayer_(dataSource.layer);
 
-        // (4) Recenter the map view onto its extent
-        this.map_.getView().fit(dataSource.extent);
+          // (3) Add it to the file group
+          fileGroup.addDataSource(dataSource);
 
-        // (5) Finally, add it to the ngeo collection
-        this.dataSources_.push(dataSource);
+          // (4) Recenter the map view onto its extent if there is at least one geometry (and so a valid extent)
+          this.map_.getView().fit(dataSource.extent);
 
-        // call the callback.
+          // (5) Finally, add it to the ngeo collection
+          this.dataSources_.push(dataSource);
+        }
+        // Call the callback.
         if (opt_callback) {
-          opt_callback(true);
+          opt_callback(success);
         }
       },
       (rejections) => {