The ex-England boss's last managerial role was at Wolves three and a half years ago, but Berkshire-based Hoddle is tempted by a return to the game with his local club, says The Mirror.
Reading's chief scout Brian McDermott is performing the role of caretaker manager at the Madejski Stadium and has made it known he would like to succeed Brendan Rodgers, who was sacked as Royals boss after just 23 games in charge with the club floundering near the foot of the Championship table.
Place in the sun: Glenn Hoddle at his football academy in Spain
Madejski has suggested McDermott could get the job full-time, while recently sacked Peterborough boss Darren Ferguson and former Middlesbrough chief Gareth Southgate have also been linked to the job.
Hoddle, 52, had success at Reading's local rivals Swindon early in his career, gaining the Wiltshire club promotion to the Premier League in 1993, before moving on to spells with Chelsea, England, Southampton, Tottenham and Wolves.
Since leaving his post at Molineux, the former midfield playmaker has set up The Glenn Hoddle academy in Jerez, Spain specialising in helping back into the game young players who have been released by their clubs.
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