The notification will be discussed Wednesday, the Constitutional Court said.
President spokesman Bogdan Oprea declined to comment on the matter.
Basescu told Prime Minister Victor Ponta in a letter last week that his participation in the European Council meeting without a mandate from the head of state means he assumes presidential prerogatives.
Romania has so far been represented by its president in European Council meetings but the prime minister is arguing he is the one who should attend.
Basescu and Ponta discussed the subject last week but failed to reach an agreement. Talks between the two might continue on Monday.