He continued his studies at the Guildhall School of Music & Drama in London, receiving lessons from professors; Ruggiero Ricci, Ivry Gitlis, Herman Krebbers, and members of the Alban Berg Quartet.

In addition to his wide-ranging repertoire, he has premiered pieces from modern composers like Franco Danatoni, Malcolm Lipkin, Luciano Chailly, Ladislav Kupkovic, Loris Tjeknavorian, Lawrence Roman and Yervand Yernakian.

Malikian has played in more than 40 countries: New York, USA (Carnegie Hall); Paris, France (Salle Pleyel); Viene, Italy (Musikverein); Toronto, Canada (Ford Center); Madrid, Spain (Auditorio Nacional and Teatro Real); Venice, Italy; Los Angeles, USA; Taipei, Taiwan; Hong Kong, China; Kuala Lumpur, Malaysia; Cuba; Barcelona and Bilbao, Spain; among others.

Malikian has maintained a close collaboration with José Luis Montón, Lebanese singer Fairuz, flamenco dancers Joaquín Cortés and Belén Maya, the Ensamble Nuevo Tango and jazz pianist Horacio Icasto.

He has also worked with film-music composers such as Alberto Iglesias, with whom he recorded the soundtrack for Hable Con Ella, a movie by Almodóvar, or Pascal Gainge in Otro Barrio by the director Salvador García Ruiz.

Malikian has been nominated twice for best classical performance in the 2007 Music Prizes in Spain by the Spanish Academy for his recording of the Poema Concertante by Xavier Montsalvatge with the Castilla y León Symphonic Orchestra; as well as for a piece with Joan Valent, Suso Sáiz and Marc Blanes.