Former New York Mayor Rudy Giuliani is planning a New Hampshire visit this week and a spokeswoman said Monday he will decide whether to run for president “very soon,” fanning a campaign flame he’s been kindling since at least spring, when he talked of running in a speech before the Palm Beach Republican Club.

Then, he hinted that he would run if the GOP would nominate a candidate hizzoner considered “too right-wing.” Now, he plans to meet with law enforcement officers, National Rifle Association members, and Dartmouth College faculty while he mulls another run.

Giuliani banked heavily on Florida when he ran for president in 2008. He finished third here, shouldered out when then-Gov. Charlie Crist endorsed eventual nominee John McCain. Giuliani ended his campaign a day later.

With the 2012 Republican presidential field still in flux, prospects of a Giuliani candidacy could be expected to draw buzz in South Florida, effectively New York’s sixth borough.

But Palm Beach County GOP Chairman Sid Dinerstein, a Giuliani fan, said it’s more likely the presidential profile of ‘America’s Mayor’ has waned.

“I just don’t think a lot of voters, especially newer voters, have stopped thinking of him,” Dinerstein said. “But this is a year when anything can happen. And when we have people still talking about jumping in, I think as a Republican, that says they think they can win.”