According to Jayson Stark, the Pittsburgh Pirates are telling teams that they are likely to keep Pedro Alvarez. Stark mentions that the Pirates will likely end their hunt for a first base upgrade, but I'm not sure they wouldn't still look for help there just because they now plan on keeping him. They were willing to sign Corey Hart to play some first base coming into the season and Alvarez is only hitting .232/.301/.430 and playing well below average defense, so it's not like he has done anything to prove that he can play there everyday and add value.