Melda rose to international prominence in 2010 when she won the BBC Young Musician of the Year at the age of sixteen,[5] performing Saint-Saëns' Piano Concerto No.

Previous concerto performances have included Rachmaninoff with the Royal Northern Sinfonia and Kirill Karabits, Mozart with the Aurora Orchestra and Nicholas Collon (Kings Place) and the Grieg concerto with English Sinfonia (St John's, Smith Square) Ludwig van Beethoven with the New Zealand Symphony Orchestra.

She has played recitals at the Laeiszhalle (Hamburg); Les Sommets Musicaux in Gstaad, Switzerland; the Mecklenburg-Vorpommern Festival in Germany and performs often at Wigmore Hall in London.

Melda performs regularly in Turkey and made her debut at the International Music Festival (IKSV) in Istanbul in June 2011, playing the Grieg concerto with the Borusan Philharmonic.

A performance of Chopin's 2nd sonata prompted this review: "Unquestionably one of the most outstanding performances of the piece I've ever heard, it evoked its yearning, energy, loneliness, lyricism, fury and gutsiness with playing of stunning precision, technical adroitness and immense, perceptive feeling.