Last season Giltburg made his début with the Philharmonia Orchestra at the Royal Festival Hall, playing Rachmaninov Piano Concerto No. 2 under the baton of Mikhail Pletnev, and appeared again at the Royal Festival Hall with the Philharmonia in January 2009. He played for the first time with the Royal Liverpool Philharmonic and Vassily Petrenko, the Bournemouth Symphony and Marin Alsop, Malmo Symphony and Vassily Sinaisky, the City of Birmingham Symphony, the Orchestre National de Bordeaux, and returned to the Prague Symphony after a hugely successful début with the orchestra on tour in Tokyo in 2005. In December 2008 he made début appearances with the DSO Berlin, and two weeks later with the Frankfurt Radio Symphony.

As a result of an audition with Zubin Mehta, Giltburg made his début with the Israel Philharmonic in February 2005 and has since returned to the orchestra twice, notably in December 2005 to play Beethoven’s Piano Concerto No. 2 with Christoph von Dohnányi. He is a regular guest of the Jerusalem Symphony and the Israel Chamber orchestras, with whom, as a teenager, he toured the USA under the direction of Philippe Entremont. He has toured South America four times, to rave reviews, and made his North American orchestra début in 2007 with the Indianapolis Symphony.

Still only 24, Giltburg has performed across Europe in major venues such as the Vienna Konzerthaus, Munich Herkulessaal, Teatro San Carlo in Naples, as well as at the Cheltenham Festival, the Piano aux Jacobins in Toulouse, and for major festivals and orchestras across Spain. Orchestral appearances have included the BBC Scottish Symphony, Stuttgarter Philharmoniker and Vienna Chamber.

In 2008 recital débuts included Wigmore Hall, the Louvre, Amsterdam's Concertgebouw, Zurich's Tonhalle and the Schwetzingen Festival, with the Lucerne Festival to come in 2009.