New York City Mayor Michael Bloomberg is still entertaining thoughts of recruiting a high-profile successor, the New York Times reports:

Mr. Bloomberg has mused about a Mayor Charles E. Schumer with the Democratic senator from New York, and teased Mortimer B. Zuckerman, a fellow billionaire media mogul, about a possible bid. The mayor’s advisers raised the idea of a run with Edward G. Rendell, the former Democratic governor of Pennsylvania and mayor of Philadelphia, and with Edward Skyler, Mr. Bloomberg’s former top deputy in City Hall, according to several people.

The Times previously reported that Bloomberg tried to convince Secretary of State Hillary Clinton to run for the post. The mayor's third term is up at the end of the year.

Bloomberg has come close to endorsing New York City Council Speaker Christine Quinn, a Democrat, saying in May that she would “be a very good mayor.” Asked about the Clinton report in December, Bloomberg said Quinn has made “an enormous difference in this city." But the two have also clashed, over teachers' unions and campaign finance among other things.

Polls show Quinn with a sizable lead over other contenders in the Democratic primary.