Let's make a XI from non-test playing countries.
1. Any player from current BAN or ZIM sides
2. Any player from non-test playing countries
3. Any player from a current test country who plyed before gaining test status.
1. Any player who has played test cricket
2. Any player who played FCC in a test country but could not make the side of that country.
3. Irish and Dutch players are excepted from 2, they can be included.
My XI would be
1. Nial O'Brien (IRE)
2. Shariar Nafees (BAN)
3. Steve Tikolo (KEN) (c)
4. Mahadevan Sathasivam (Cey)
5. Ryan ten Doshcate (NED)
6. Shakib Al Hasan (BAN)
7. Tatenda Taibu (ZIM) (wk)
8. Mashrafe Mortaza (BAN)
9. Elton Chigambura (ZIM)
10. Boyd Rankin (IRE)
11. Raymond Price (ZIM)
Ed Joyce misses out as he has played for England, It's very tough on Thomas Odoyo to miss this XI too. But on best form Ryan Doschcate edges him out.
You would wonder who is Sathasivam, he's a player who walks in to all time Sri Lankan XI. He is probably the best non test batsman ever. FC de Saram also a very well known test class player who could not play in a test, because he played for Ceylon.
Other than Sathasivam, all are current day players. Replace him with Ed Joyce, and this side will give a run for their money for any test side.