By Takashi Mochizuki 
   Of DOW JONES NEWSWIRES 
 

Токио (Dow Jones)--The dollar fell versus the yen and the Евро in Asia Thursday as a less-than-hawkish statement from the Federal Open Market Committee overnight prompted some players to dump the greenback.

But players remain bullish on the U.S. unit as the FOMC statement almost ruled out a federal funds rate cut in the near term, said strategists.

"The Fed statement implies the federal funds rate may be kept un