Separatist allies said they would try to have Puigdemont back in the role by next week after the regional Parliament voted through reforms allowing him to be re-appointed without being present.
Torra's election and the formation of a new government would close the latest chapter in the Catalan crisis, which reached its height previous year when regional leaders held a disputed referendum on breaking away from Spain and then declared independence.
The announcement came after Spain's Constitutional Court on Wednesday accepted an appeal form the government that blocked pro-independence politicians in Catalonia from voting in Puigdemont while he remains in exile.
The speaker of the Catalan parliament Roger Torrent said in a statement on Friday that he had proposed Torra as a candidate for regional president after consulting with political parties, Reuters said.
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Rooney still has the talent to perform, and would likely help to bring in more fans to the team's brand-new stadium this season. Rooney has a year left on his contract with Everton but reports in Britain said he has grown frustrated at his boyhood club.
Catalan politicians must pick a leader to form a government by May 22 to avert further elections, following a stand-off during which separatist politicians put forward candidates who were blocked by the courts for being either overseas or in jail, among them Mr Puigdemont.
However, the Deputy may count on success in the second session of Parliament, which will take place on Monday, may 14. Torra is a pro-independence lawmaker.
Both the Spanish government and the courts have declared the secession illegal and vowed to block it.
Torra is a newcomer to politics.
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Patterson, in the role since 2013, said the restructuring, would focus on the essential services needed by consumers and businesses.
Mr Puigdemont also explained he plans to remain the global voice of the Catalan government, while Mr Torra, if invested, would oversee the region's internal affairs.
But he has been a major cultural figure over the last decade pushing for the region to fully break from Spain.
Fresh polls will be triggered if a new leader is not elected by May 22.
Elections were held in December 2017, however no party won an overall majority.
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But a German court rejected extraditing him on that charge, judging that rebellion implies violence, and ruling that Puigdemont was not personally involved in violent acts during the referendum.