The Portuguese guided the Nerazzurri to the treble two years ago before departing for the Spanish capital, but he has repeatedly spoken of his enduring affection for the club
The Portuguese led the Nerazzurri to the treble in 2010 before making the move to the Santiago Bernabeu.
However, there have been reports that Mourinho will leave Los Blancos in the summer and he has now fanned the flames of speculation by admitting that he is open to rejoining Inter, albeit on the proviso that former technical director Gabriele Oriali is also welcomed back to Appiano Gentile.
"Inter is my home; a return home is always possible," the two-time Champions League winner told Sky Sport Italia after Madrid's 3-0 win over APOEL Nicosia in the quarter-final first leg of this season's competition. "It's the same with 'Lele' - he must go home."
Inter have appointed former youth team boss Andrea Stramaccioni as coach until the end of the season following the dismissal of former boss Claudio Ranieri as the Italian club continue to endure a disappointing campaign.
Mourinho was keen to wish the former all the better, while at the same time offering his commiserations to the latter.
"Like all the Inter fans I want him [Stramaccioni] to do well," he told Sky Sport.
"I'm sorry for Ranieri, but football is like this. When things go wrong, coaches are changed."
Mourinho also had some kind words for a familiar face in the Sky Sport studio, former Inter defender Marco Materazzi.
"I miss him a lot, but we are close now and we always will be," he said of the 2006 World Cup winner. "I'm sure he's happy with our result today [Tuesday]. For me, he will always be a brother."
Inter are currently eighth in Serie A, 10 points out of the Champions League qualification places.
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