You are lucky you still have a job in Europe - stay positive!
3,000 hours and a type rating does not make you stand out from the crowd. There are plenty of people from distressed/no-growth airlines looking for jobs elsewhere. My advice: keep adding 737NG hours and get your command and valuable command time when possible.
If you were to have closer to 10,000 737NG hours plus command time with no incidents one would think you would be marketable elsewhere - especially in the Middle East where the growth continues unabated... Just read FlyDubai is expected to order 50-100 more aircraft (although some may replace existing 737NGs). Both Emirates and the other large UAE major are expanding big time. I would also keep applications current with both BA and VS just in case hiring opens up at some point.
Good luck!