EUR is good for a carry trade. If Greece will exit, you want out. Currency rises on unwinding of carry positions.
Monday afternoon is getting quite dark, hanging out in a nice place in Germany but it seems the drunker I get the deeper the red on my account - and I can't even order a roasted greek civil servant for dinner, they are as usual nowhere to be seen when they could be useful.
What also pushed EUR higher was the fact that many US funds sold their european equities and removed their currency hedges in the process.