The left-sided midfielder, 20, recently spent time training with us at Spurs Lodge.
Sporting Director Frank Arnesen said: "Yesterday we agreed with the club, signed the papers and in the next couple of days we hope to agree personal terms. He is a young player and one for the future."
We'll have more from Frank on Emil tomorrow...
We have agreed the transfer of Iceland Under-21 international Emil Hallfredsson from FH Hafnarfjordur, subject to personal terms being finalised.