According to Marc Topkin of the Tampa Bay Times, David DeJesus and the Rays have agreed to a multi-year deal. As you can see below, the Rays confirmed this.
— Marc Topkin (@TBTimes_Rays) November 4, 2013 
— Tampa Bay Rays (@RaysBaseball) November 4, 2013 
So excited to be a Ray again!!!
— David DeJesus (@David_DeJesus3) November 4, 2013 
Whew! It's official I can talk now! Rays picked up Dave's option!! He's a Ray again!!!
— Kim DeJesus (@KimDeJesus9) November 4, 2013