Assuming he's available, the Giants would also be among several teams interested in trading for Murphy this summer, according to columnist Andy Martino (Daily News, June 23).
The Mets reportedly fielded offers for Murphy this past offseason, but no team met their steep asking price.
Murphy and the Mets are also open to discussing a contract extension, although they have yet to have any formal negotiations (Daily News, June 25).
He is expected to earn around $9 million in 2015, after which he can become a free agent.
According to MLB Trade Rumors, based on his position, age and stats, Murphy is likely due a four- or five-year contract extension worth around $12 million per season (MLBTR, June 26).