You can control in your XING settings whether or not you want to receive push notifications for things such as when you receive a new message or contact request.
- Open the app menu via the More button.
- Go to Settings and then choose XING settings.
- Now click on Notifications and choose Push notifications.
- Activate the options you wish to be notified of.
You can then close your settings by touching the arrow symbol in the top left corner again. Your changes will be automatically saved.
By the way: You can also manage these settings on the XING website if you don't have your mobile phone with you. The following link takes you there: Settings for push notifications