The former Catalan president had been warned before he left Belgium that Spain would try to extradite him again if he stepped foot in another country.
At the time, the Supreme Court had issued an global arrest warrant against him, but withdrew it in December to avoid Belgium granting him asylum.
It came nearly three months after he was removed from office and fled to Belgium following Catalonia's declaration of independence.
Spain's Supreme Court dropped an arrest warrant in December but the prosecutor applied for it to be reissued on Monday.
The pro-independence politician is speaking at a conference on secession in Europe, with the situation of Catalonia and Spain a major theme.
However, Mr Puigdemont has raised the possibility that he would be able to govern via video link. But, he hopes to be sworn in via video link or by using an MPs to read his candidate speech if he is re-invested as the new leader of Catalonia at the end of January.
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"I am conscious of the warnings that weigh upon him, but I am also conscious of his absolute legitimacy to be candidate", Torrent said.
Puigdemont moved to Brussels at end of October with five of his advisors, although two of m returned to Spain. That decision was made amid fears that the Belgian judge would strike out the most serious charge of rebellion, with consequences for the prosecutions of those in jail or on bail back in Spain.
Roger Torrent, the newly elected speaker of the Catalan parliament, on Monday formally proposed Puigdemont as the candidate to form a government. The reactivated warrant will only be valid in Denmark, where Puigdemont has traveled to for a debate. He will be arrested the moment he sets foot on Spanish soil.
The former Catalan president has suggested he could rule remotely from Brussels, an option Spanish Prime Minister Mariano Rajoy has dismissed.
He is slated to take part in a debate at the University of Copenhagen Monday, and Tuesday he has been invited to the Danish Parliament by a Faeroese lawmaker, but leading members of the government and opposition have declined to meet him.