Hi Basis,
Please confirm few points:
1.On the router that you have installed do this .
telnet 194.39.131.34 3299
Hopefully you'll get same error which you are getting right now i.e connection timeout.
2.Are you able to connect your SAP instance via SAP GUI by entering SAPRouter String ?
As per me your connection will be successful without any issue.
3.Are you able to ping your static IP which you've given or bind with internal IP of saprouter.
Here i'll go with your network team they've no issues on port opening 3299.As per me your IP will not be ping from external sources as per ICMP standards.
Please confirm from your network team that they did port forwarding for this specific port or they allowed full traffic on this static IP.
4.Last check your host entries on the server.
Thanks,
Gaurav