The incident further increased tension after the Republican candidate's Chicago rally was abandoned Friday.
Trump's Republican rivals, meanwhile, say he helped create the increasingly tense atmosphere.
With dueling appearances in Arkansas and Georgia, the billionaire businessman and U.S. senator from Florida continued an onslaught of personal insults.
Trump trounced Cruz and Rubio in Nevada. But the numbers involved were very small.
Trump's lead in New Hampshire has narrowed since Iowa.
South Florida Mayors ask Marco Rubio for help on climate change
Bush administration official: "Rubio's rhetoric disguises all manner of venality, corruption, nastiness and downright evil."
In their first presidential debate since President Obama announced he would take executive action to promote gun control, the Republican candidates voiced their opposition.
In their sixth debate, expect the Republicans to discuss the economy, immigration and North Korea.
The GOP fails to note that the president vows to uphold the Constitution not to keep us safe.
Fox Business Network kept its November 10 debate more about business and less about "gotcha" moments.
Republican National Committee confirms the upcoming presidential debate will be two hours.
This week's CPAC meeting, which begins Wednesday, is the place to be for Jeb Bush, Ted Cruz, Rand Paul and company.
Rubio, Paul and Cruz hope to please neo-Con hawks and isolationist doves all at the same time.