Veteran third baseman Bill Mueller agreed today to a two-year contract with the Dodgers, joining another free agent, Rafael Furcal, on the revamped left side of the team's infield. A capable defender who, as a switch-hitter, batted .295 last season, Mueller spent the past three seasons in Boston, where he was part of the Red Sox's 2004 World Series championship. Mueller, 34, chose the Dodgers over what was believed to be a more lucrative offer from the Pittsburgh Pirates, and had considered a contract offer from the Chicago White Sox, but was not assured a starting position there. The contract is pending a physical examination. Mueller broke into the major leagues in 1996 and spent five seasons with the San Francisco Giants, where Dodger General Manager Ned Colletti was an assistant general manager. After two seasons with Chicago Cubs and a short return to San Francisco, Mueller signed in 2003 with Boston, where his manager was Grady Little, now with the Dodgers.