The Croatian midfielder, having been fined for missing Tottenham's pre-season tour of USA in hopes of a move away, has said sorry and returned to training at the club's base
The Portuguese boss declined to name his side's asking price for their star man, who is being chased by Real Madrid, but gave a revealing insight into the current situation.
"He has spoken to me and the chairman. His apology comes and it is well welcomed," Villas-Boas told reporters after their friendly with LA Galaxy finished in a 1-1 draw.
"He's now training and we hopefully make the right decision in the future. We're just waiting on the bidding clubs to offer the right value for a player of big dimension.
"Modric is of course an extremely good player that has helped Tottenham reach success in the last couple of years.
"I think the fact that it's been difficult for us to deal with clubs is because of Luka's dimension as a player and what he did for the team. He's an extremely good player. Any coach would like to count on a player of that standing."
As it stands Modric will remain in England to train, as Villas-Boas feels that the compressed travel and "tremendous heat" of the remainder of the USA trip would not necessarily help bring the 26-year-old's fitness up to par.
"We decided for him to stay in London. That's something that I have to judge," the former Chelsea boss continued.
"I think it would be unsensible to bring Luka back, but still a decision can be taken."
The 34-year-old manager seems resigned to losing the midfield schemer. Should that come to pass it would hinder Villas-Boas' efforts in his first season with the north London club, according to former Spurs striker Robbie Keane.
"When you're this far across the water it's very difficult to keep track of what things are going on," Galaxy forward Keane said of Modric's situation.
"Listen, if you lose him he's obviously a top, top player. It'd be a shame for Tottenham to lose a top player like him."