With the Dodgers appearing reluctant to meet the Chicago Cubs' asking price for potential two-month rental pitcher Ryan Dempster, they could soon turn their focus to players they could retain beyond this season.

Two players on the Dodgers' radar are first baseman Justin Morneau of the Minnesota Twins and pitcher James Shields of the Tampa Bay Rays, according to people familiar with the team's thinking. The Dodgers aren't actively negotiating deals for Morneau or Shields, one of the people said.

The Dodgers could also explore a trade for Dempster's teammate, pitcher Matt Garza.

Dempster's contract expires at the end of this season, but Morneau's runs through next season, and Shields' includes team options for 2013 and 2014. Garza is under club control for another year and won't be eligible for free agency until after the 2013 season.

Morneau, Shields and Garza play for teams looking to clear salaries.