Sen. Ted Cruz (R-Tex.) attempted to bury the hatchet with fellow tea party Sen. Rand Paul (R-Ky.), but Paul isn't quite ready to let bygones by bygones.

After a dustup in which Paul criticized Cruz for labeling his own foreign policy stance as more similar to Ronald Reagan's, Cruz praised Paul in a statement Monday night in which he said he will continue to "stand with Rand."

But appearing on Fox News shortly thereafter, Paul continued to criticize Cruz for his previous comments.

"We always have been good friends," Paul said after being read Cruz's statement. "I'm not real excited about him mischaracterizing my views and won't let that pass.

"I think that sometimes people want to stand up and say, 'Hey, look at me, I'm the next Ronald Reagan.' Well, almost all of use in the party are big fans of Ronald Reagan."

Paul then repeated that Cruz has misappropriated Reagan's legacy.

"For people to characterize (my position) as somehow not being the Reagan position -- I think they need to have a re-reading of Reagan, frankly," Paul said.

Asked whether he wants Cruz to apologize, Paul stopped short of that.

"I'll settle for maybe he just needs to work on presenting his own ideas," Paul said.