The Under 21 international will join the Premier League club on a two-year contract, subject to international clearance.
Sam Still 'Hungry' For Players
Bogdan arrives from Vasas and the 20-year-old is relishing his move to England.
Bogdan told MT1, "I'd like to thank everybody who works at the Under 21 national team, to Vasas, to Vecses, and their coach Istvan Pisont."
Bogdan told MT1, "I'd like to thank everybody who works at the Under 21 national team, to Vasas, to Vecses, and their coach Istvan Pisont."
"Without them, this contract couldn't come into existence.
"I didn't even dare to dream that my agents' forecast would come true. In Vecses they told me that I'd go to England from here.
"Bolton have already started the preparations for the next season, but I only have to join them next Monday.
"Manager Sammy Lee has let me go and finish all my things in Hungary, but by Sunday evening I'll be in England."