BOCA RATON, Fla. -- President Barack Obama and Republican presidential hopeful Mitt Romney battled over foreign policy in their final presidential debate of the election Monday night.

From Libya to China, they took on a wide range of issues. Even dipping into domestic policy at points.

 The president came out of the gate swinging.

"Your strategy, previously has been one that's been all over the map,” said Obama.

"Attacking me is not an agenda and attacking me is not going to help with the challenges in the Middle East,” said Romney.

A new ABC News/Washington Post poll has the two in a dead heat.