The 17-year-old was one of three MTK Hungaria teenagers to spend a pre-season trial period with the club in recent weeks.
The midfielder will now spend the 2008/09 campaign battling for place in Gary Ablett's reserve side.
Peter Gulacsi, Krisztian Nemeth and Andras Simon all arrived in a similar deal from MTK last season and have established themselves within Liverpool's youth ranks.