The euro last changed hands at 1.5542/51 francs, virtually unchanged from Tuesday.
A widespread view that the Fed will raise interest rates by a quarter of a percentage point supported the dollar on Tuesday.
But the greenback traded flat against major currencies at the end of the day, as traders unwound positions.
The European Central Bank also meets this week, on Thursday, and is broadly expected to stay put. In Switzerland, foreign exchange markets will be eyeing the release of trade data and consumer price inflation scheduled for Thursday.