"I'm breaking protocol to offer you a present that I think you will like," the anti-austerity party leader, Pablo Iglesias, told the king during a meeting between the monarch and Spanish members of the European parliament.
"I haven't seen it," the king replied while accepting the present from the leader of the leftist party who makes no secret of his republican convictions.
Adapted from "A Song of Ice and Fire" fantasy saga by US novelist George R R Martin, the TV series "Game of Thrones" revolves around a ruthless power struggle between noble families who covet the Iron Throne in the Seven Kingdoms of Westeros.
"I told him that he is sure to like the series and that it will give him some keys for understanding the political crisis in Spain," Iglesias, a former political science professor, told Spanish reporters of his encounter with the king after giving the monarch the DVD.
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The pony-tailed Podemos leader has made no secret of his passion for the television series. Last year he edited a book analysing the television show called "Win or Die - Political Lessons from Game of Thrones". The cover features a drawing of Iglesias sitting on an iron throne.
Felipe V1 made his first visit today to European institutions in Brussels since his accession to the Spanish throne in January.
He was first received in parliament by its president, the German socialist Martin Schulz, before meeting with the assembly's seven political groups and then Spanish eurodeputies.
The king accepted an invitation from Schulz to give a speech to the plenary session of the European parliament at its main seat in the French city of Strasbourg.