Until 2001 Mouglalis studied at the Conservatoire National Supérieur d'Art Dramatique de Paris (CNSAD)[4] under the direction of Daniel Mesguich.

In addition to her native French, she speaks fluent English, Italian, and Spanish, and understands Greek to a limited extent.

After appearing in Novo (2002) by Jean Pierre Limosin, she was cast by Roberto Andò for the thriller Sotto falso nome.

In this same year, she co-starred in a Greek film, called Real Life (Alithini Zoi), directed by Panos Koutras.

In 2005 she took part in two Italian movies: Romanzo criminale, directed by Michele Placido, and Mare buio, where she was featured alongside Luigi Lo Cascio.