The rival Rangers and Dodgers have joined the Angels in the hunt for Big Game James Shields, sources told CBSSports.com.

All three teams have made offers but the Rays are waiting for someone to do better for the former All-Star right-hander.

While the Angels have long been tied to Shields, it turns out arguably their two biggest rivals also have interest.

The Rays have told teams they would listen on three coeveted right-handers, including Jeremy Hellickson and Wade Davis, but Shields is the logical candidate to go since he's 30 and has a $9 million team option for 2013, pricey for the Rays but reasonable for big-market teams.

The Angels have discussed a package that includes young center fielder Peter Bourjos, who is available thanks to the emergence of 20-year-old superstar Mike Trout and isn't off to a great start. The Rangers have plenty of fine young players to do any deal.