An autodidact composer, Eichberg was awarded the Grand Prix of the Queen Elisabeth International Competition for Composers (Brussels) in 2001 for his composition "Qilaatersorneq" for violin and orchestra. Subsequently "Qilaatersorneq" was performed in Brussels, Cologne and as the opening work of the Musical Olympus Festival in the St. Petersburg Philharmony.

In 2003 he was again rewarded at the same competition for his composition "Z.N.S." for piano and orchestra.

Since 2001 his works have been performed in Austria, Australia, Belgium, Denmark, Estonia, Germany, Italy, New Zealand, Russia and the USA and been radio broadcast in the USA and europewide.

Eichberg has received commissions by the International Piano Competition Ferruccio Busoni (I), the International ARD Music Competition (D), the Tallin International Piano Festival (EE), Odense Symphony Orchestra (DK), the Danish State Art Foundation, the Danish National Radio and the International Double-Reed Society.

For the summer of 2002 Eichberg received the two months composition fellowship of the Tanglewood Music Festival (USA) and for 2002/2003 he was awarded the two-year "Start-Up Scholarship" for young artists by the Danish National Arts Foundation.

His piano piece "Scherben" is published by Universal Edition Wien.

Eichberg’s music has been characterised as an absorption and amalgamation of seemingly incompatible elements and structures.

"On one side not feeling obliged to obeying to an alleged imperative of positivistic progress as a purpose merely in itself — on the other side not capitulating to the "easy-listening" mainstream of most postmodernism, my goal is to combine the composing techniques and sound landscapes that the last fifty years have revealed with a necessity to communicate. Neither can art exist in a self-satisfied vacuum, nor can it uphold the predicate of art if the principle is scarcely more than to entertain."