Russia, which backed ousted President Viktor Yanukovych, has warned other states against seeking "unilateral advantages" in Ukraine.
Chávez and Venezuelan ally Nicaragua, two countries which backed ousted president Manuel Zelaya, are opposed to any such notion.
Mr Kernes himself disappeared to Russia for a time, but returned to Kharkiv, saying he no longer backed the ousted president.
Rubio, who won the Florida Senate race with Tea Party backing, ousting both a Democrat and a moderate Republican in the process, also used the "second chance" phrase, but in his case as a threat.
The prosecutor has said that both sides in the conflict, the forces backing the ousted leader Laurent Gbagbo and those backing his successor, Alassane Ouattara, had killed civilians and committed other crimes, including rape.
Saudi Arabia is militarily backing the ousted Sunni-led government in Yemen, while Iran backs the Shia Houthi rebels.
Egyptian security forces have launched a deadly assault on protest sites backing the ousted president Mohamed Morsi, clearing one and besieging another.
Mortar and automatic-weapons fire rocked Bangui for a fourth day as rebels backing an ousted army chief battled government supporters.
In Ismaïlia, a city near the Suez Canal, protesters backing the ousted president Mohamed Morsi attempted to attack a police station with a car, while Brotherhood members held a protest after the start of the evening curfew.
It subsequently backed the military coup that ousted the democratically elected Egyptian government, and has since worked to assist the current military government crackdown on the Shia members of the Muslim Brotherhood.
