So from here forward, the direction of EUR/USD pair will more depend on USD strength/weakness than anything else.
There are many things which could adversely affect the euro. A non-exhaustive list includes: Greece round X, French downgrades, French banking crisis, German election results, Italian election results, large scale social unrest in any of a dozen countries, Spanish meltdown, rise of anti Eu sentiment in any of the "good " countries and an (increasing) anti EU sentiment in the UK.
There are also a number of things which could positively affect the Euro. A (shorter) non-exhaustive list includes yet another summit, increased fiscal integration and signs that the newest recession is reversing and continued flows of yen into Euros.