Sala was with pilot David Ibbotson when the accident happened, whose body is yet to be found.
Images earlier showed an ambulance bringing the body on shore from a ship in Portland, Dorset, this morning.
Sala, a striker who played for Nantes in the French top flight, was preparing to start a new career in the Premier League at Cardiff.
The player sent an audio from the plane to his friends, in which he informed them of the issues the aircraft faced and, according to Ouest France, the plane took off after several unsuccessful attempts.
"Our thoughts remain with them at this hard time", Dorset Police said in an official statement.
Sala, 28, was travelling to Cardiff from Nantes in western France to link up with English Premier League side Cardiff City, when the plane he was travelling in crashed into the sea off the coast of Guernsey.
The football world came together in grief and to pay its respects as the severity of the Sala story began to unfold, with floral tributes laid outside Cardiff City Stadium and vigils held in Nantes, where 42 goals in three-and-a-half seasons made him a fan favourite.
The Air Accidents Investigations Branch (AAIB) said the operation had been carried out "as dignified a way as possible" and the men's families were kept updated throughout.
The remains of the plane were discovered on Sunday evening.
The AAIB said it expected to publish an interim report within the month.
He had been saying goodbye to his former Ligue 1 teammates, following the Bluebirds' record-breaking £15 million signing.
Cardiff posted the statement on their website under a picture of the player.
It is believed Cardiff have been left surprised by the demand, considering the circumstances and the timing, and would rather the investigation into the tragedy is completed first.