The 17-year-old had a week-long trial with the Hammers last season and
impressed manager Alan Curbishley who snapped him up on a "long-term contract" from HK Kopavogur.
"I am really happy to sign for West Ham," Eyjolfsson said. "I have heard
of many good players that have come from the club's academy."
"When I was on trial in February I really enjoyed the tempo and style of
training and it helped me take my talent to the next level."
"It is obviously very scary to move away from my family, but it is my dream
to play in England."
Meanwhile 18-year-old Czech goalkeeper Marek Stech has signed a new five-year
contract.
