When a club 'cools' their interest in a player it is usually code for the player does not want to join them.
Manchester United 'cooled' their interest in Antoine Griezmann barely an hour after Atletico Madrid's transfer ban was upheld by the Court of Arbitration for Sport in 2017. Griezmann had promised to remain in Madrid in the event they were unable to recruit a replacement.
Last night, Liverpool had 'cooled' their pursuit of Jude Bellingham. The headline on one outlet has been adjusted to 'end' this morning. 'Cooled' was always code for 'ended'.