The Yankees have extended an offer to starter Hiroki Kuroda in an attempt to entice the right-hander to pitch one more season in the Bronx instead of retiring or returning to Japan to play, a source with knowledge of the discussions told ESPNNewYork.com.

The exact figure of the one-year offer is unknown, but it is expected to be in the $15 million to $16 million range. Kuroda, 38, made $15 million in 2013. Prior to free agency, he turned down the Yankees' qualifying offer of $14.1 million.

Kuroda went 11-13 with a 3.31 ERA last season. For the first four months of the season, he was clearly the Yankees' best starter before fading late in the year. Still, the Yankees believe he is the best option to complement established starters CC Sabathia and Ivan Nova.

Kuroda has flirted with returning to Japan for a few years but has decided to stay each time.