The Virgin Islands also had weekend caucuses.
In sparsely populated Wyoming, there were 15 county conventions during the day to pick six convention delegates. Another six were chosen earlier, with Romney winning 4, Paul one, and one uncommitted.
Paul and Santorum both campaigned in the state on Friday, and Gov. Sam Brownback appeared with each without making an endorsement.
In Topeka, Paul told an audience of about 500 that Kansas should be a "fertile field" for his libertarian-leaning views but declined to say how many delegates he hoped to gain.
Santorum, who hopes to drive Gingrich from the race in the coming week, lashed out at Obama and Romney simultaneously in remarks in the Kansas capital city.
"We already have one president who doesn't tell the truth to the American people. We don't need another," he said.
The former Pennsylvania senator told reporters he was confident "that we can win Kansas on Saturday and come into Alabama and Mississippi, and this race should come down to two people."