The hunt for free-agent Bryan Shaw is gaining speed.

Two teams have made multiyear offers for the durable Shaw, who spent the last five seasons with the Indians. In those five seasons, Shaw made more appearances (378) than any reliever in the big leagues.

The two offers are for at least three years each.

The identity of the two teams has not been confirmed, but the Mets are believed to be one of them. They have shown interest in Shaw since he hit the open market and Mickey Callaway, Shaw's pitching coach with the Indians, is the Mets new manager.

In three of the last four years, Shaw has led or tied the AL in appearances. This past season he tied Kansas City's Peter Moylan with 79 appearances for the league lead. In those 79 appearances, Shaw went 4-6 with a 3.52 ERA and three saves. He struck out 73 and walked 22 in 76 2/3 innings.