Foley, a powerful back-row forward, will be best remembered for captaining Munster to their first Heineken Cup final triumph in 2006, a victory that ended their quest for success in Europe.
A hugely popular figure, Foley continued to have a significant impact on the province upon his retirement in 2008 as forwards coach, before being appointed head coach in 2014.
His death has shocked the world of rugby.
Meanwhile, the authorities in France have begun a routine investigation into Mr Foley's death.
'On behalf of EPCR, I would like to extend my deepest sympathies to Anthony's family and to everyone associated with Munster and Irish Rugby.
News of Foley's passing shook the sporting community in Ireland and beyond on Sunday.
Rugby fans were quick to pay their respects to Foley. His death has plunged Irish rugby into mourning and left reeling his many friends and former teammates around the globe. "It is tragic to lose such a fantastic man at such a young age".
Mayor of Limerick, Kieran O'Hanlon said: "Our thoughts and prayers are foremost with Anthony's family, his wife and children".
A book of condolence has been opened at the IRFU office on 10-12 Lansdowne Road, Ballsbridge, Dublin for members of the public wishing to record their condolences for the Foley family.
Mayor of the City and County of Limerick Kieran O'Hanlon praised Foley's all-round contribution.
"Anthony was the embodiment of Munster Rugby and dedicated his life to the game he loved", Munster chief executive Garrett Fitzgerald said. "It's absolutely shocking", former Ireland player Donal Lenihan told RTE Radio 1. "It's about knowing what to say and the time to say it. Anthony got that".
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The cause of his death was not officially confirmed but the Irish Daily Mail report he is suspected of suffering a heart attack.
Supporters also queued to leave messages of condolences on an impromptu memorial at the ground.
He made his debut for Ireland against England in 1995 in the Five Nations Championship, scoring a try on his debut. He won four consecutive Irish league championships and was a mainstay on the Irish national team before becoming a coach.
However, with the switch to professional rugby and the emergence of Munster as one of Ireland's province super-clubs, it was inevitable that he would become a mainstay of the Munster set-up - which he did.
Ulster director of rugby Les Kiss worked with Foley during their respective backroom stints with the Ireland squad.
"His words", O'Gara said, "carried the same weight as ever".
Eddie O'Sullivan, the former Ireland head coach who gave Foley most of his caps for his country, said his former No8 had an "incredible rugby brain".
An emotional Minister for Finance, Michael Noonan, who socialised with Foley and his family a few weeks ago, also paid tribute: "He wasn't loquacious; a man of few words, but solid as a rock, and you could always depend on him".
Foley's family have issued a statement "to extend its deepest appreciation to the endless legions of friends and the wider rugby family here and overseas for the huge outpouring of support and sympathy since Anthony's tragic and most untimely passing at the weekend".
Munster fans who had travelled to Paris for the Racing match gathered outside the Stade Yves-du-Manoir in northwestern Paris, laying flowers on flags and breaking into spontaneous renditions of Munster's adopted hymn, "The Fields of Athenry".
Incredibly sad. One of Munster's all-time greats.