The Liverpool Echo says a joint statement from the club and the Premier League confirmed that a deal had been reached for the 13-year-old involved in the case to continue at his current school and join another academy.
That had been delayed by the need for his previous club Stoke to receive £49,000 in compensation before he could join another club.
The joint statement said: “The Premier League and Liverpool FC have reached a constructive agreement regarding the future education of a young player who was unable to register with the club.
“Under the terms of the agreement, the player will be able to continue his education at his current school.
“He will also be free to join another club in the academy system without that club being required to pay compensation, which has been settled with his former club, Stoke City FC.
“We understand this has been a difficult situation for the young person. We are pleased for him that it has been resolved and wish him a successful future."
The ruling led to Liverpool being banned from signing players from other English academies for two years and fined £100,000.