The four main opposition groups rejected Kavelashvili and boycotted the parliament.
It is not yet clear how the confrontation will be resolved.
Protesters, waving Georgian and EU flags, formed a kilometer-long live chain on Saturday.
“I am with my whole family on the street, trying to somehow free this small country from the clutches of the Russian Empire,” one protester told the Associated Press.
Georgian Dream has become increasingly authoritarian in recent years, passing Russian laws aimed at media and non-governmental groups that receive foreign funding and the LGBT community.
He refused to join Western sanctions against Russia after its full-scale invasion of Ukraine and called the West a “party of global war”, mocking his stated goal of joining the EU and NATO.
The vast majority of Georgians support the country’s path to the EU, and this is part of the constitution.
But in November, the country’s ruling party said the government would not pursue EU accession talks until 2028.
This statement sparked several days of protests, and riot police used tear gas and water cannons against the demonstrators, who responded by throwing fireworks and stones.
USA this week imposed sanctions about former Prime Minister of Georgia and billionaire, founder of “Georgian Dream” Bidin Ivanishvili.
Georgia is a parliamentary democracy where the president is the head of state and the prime minister is the head of the parliament.
The current president, Zurabishvili, condemned Kavelashvili’s election – which took place under the electoral college system, in which he was the only candidate – as a travesty.
When Zurabishvili became president in 2018, she was backed by Georgian Dream, but she has since denounced their disputed election victory in late October as a “Russian special operation” and supported overnight pro-EU protests outside parliament.
Zurabishvili promised not to resign on Sunday.
The government says that if she refuses to leave office, she will commit a crime.
