Freshman Sen. Rand Paul (R., Ky.) dropped hints last week that he could make an underdog run at the White House in 2012.

Sen. Rand Paul (R., Ky.), left, with his father, Rep. Ron Paul (R., Texas) (AP Photo/Ed Reinke)

If he does, he may wind up running against his dad.

Rep. Ron Paul, the libertarian-leaning Republican from Texas, will speak in Iowa next month at a presidential lecture series for the Family Leader, a social conservative activist group. It’s another signal Mr. Paul is pondering his third run at the White House.

The outspoken lawmaker, who has said he wants to dismantle the Federal Reserve, ran as a Libertarian in 1988 and as a Republican in 2008.

Today, another presumed 2012 candidate, Minnesota Gov. Tim Pawlenty will give a short “pro-family lecture” for the group.

The field of GOP candidates to take on President Barack Obama is still undefined 21 months before the election. The group has no other confirmed speakers this year, but representatives for Sen. John Thune (R., S.D.), Indiana Gov. Mitch Daniels and Mississippi Gov. Haley Barbour expressed interest should the men decide to run, a Family Leader spokeswoman said. The organization also reached out to former Alaska Gov. Sarah Palin and has tried to contact former Massachusetts Gov. Mitt Romney.

Mr. Romney has not returned phone calls, the spokeswoman said.