Puigdemont has yet to declare full independence from Spain.
"We trust the leadership of Prime Minister Mariano Rajoy to manage this hard process", it said in a statement, urging all relevant players to move from confrontation to dialogue. Analysts, however, are less optimistic saying Madrid will likely suspend the government or the autonomy of the Catalan state.
Officials said more than 890 civilians and some 430 members of the police force were injured in clashes as the central government tried to halt the disputed independence referendum that it called unconstitutional. According to the Catalan authorities, as many as 844 people were hurt in clashes with police.
He said the European commission president, Jean-Claude Juncker, was in touch with Rajoy but stressed that the vote on Sunday was "not legal" and it was "an internal matter".
Puigdemont, who held the vote in defiance of a court order, urged Rajoy to say whether he was in favor of mediation, which he said should be overseen by the European Union.
A child wears an "estelada", or Catalonia independent flag, with others in a protest in Barcelona, Spain, Tuesday Oct. 3, 2017. Catalonia's government will hold a closed-door Cabinet meeting Monday to discuss the next steps in its plan to declare independence from Spain following a disputed referendum marred by violence.
The leader of Catalonia, Carles Puigdemont, told a news conference Monday that worldwide mediation is needed to resolve the dispute.
At a news conference on Monday, Mr Puigdemont said: "We don't want a traumatic break". "We have called on all sectors to take part". Three days later, the Catalans still haven't presented a final result. The Spanish interior minister conceded that some of the violence looked "unpleasant", but the response by riot police was "proportionate", he said. About 5,000 extra police officers were sent to Catalonia and are expected to remain there for now.
Catalonia is a wealthy region of some 7.5 million people in northeastern Spain, with its own language and culture. "We are not calling a general strike for October 3", they said on Monday.