Tardelli has managed Inter Milan, Bari, Arrezo and Egypt and scored as Italy beat West Germany in the 1982 World Cup final.
Tardelli, currently on the board of Juventus where he made his name as a player under Trapattoni, is eager to work again with his old boss.
Said Tardelli last night: “I am happy for this new adventure that awaits me. I am glad to work with Trap again, whom I have already spoken to, and I want to start again.
“I like the idea of being to Trapattoni what (Carlos) Queiroz is to Alex Ferguson at Manchester United.”
FAI President David Blood welcomed Tardelli’s appointment, which came after he met FAI representatives in Milan on Tuesday and agreed a two-year deal. Said Blood: “We are delighted such an experienced coach as Marco Tardelli has agreed to join Giovanni Trapattoni’s backroom team.”
Liam Brady, meanwhile, is prepared to talk to Trapattoni about becoming part of the backroom staff. Brady does not want to leave Arsenal where he is academy director, but would be prepared to discuss helping out on a part-time basis. “I need to sit down with Giovanni face to face, find out what he would want from me or what I could do for him and then take it up with Arsenal,” said Brady.
Meanwhile, former Ireland midfielder Jason McAteer believes the appointment of Trapattoni is a massive gamble for the FAI.
Speaking on TV3’s Live Uefa Cup coverage, McAteer said the FAI needed someone with a better understanding of Irish culture.
“The players don’t know much about him.
“There’s a special ingredient when you play for Ireland it’s not just about football. Everyone is going on about his CV, but it’s not just the CV that wins football matches.
McAteer has also hit out at the FAI for the delay in appointing a new manager.
“You don’t get to work with international players for very long so I would have liked to have seen a manager in a lot sooner.
“I think the process wasn’t helped by England and Scotland, bringing in new managers so quickly. It put pressure on John Delaney”.
But McAteer’s colleague on the panel, Sam Allardyce disagreed.
“I think the process taking 113 days has worked in the favour of the FAI, because in the early stages they may have thought they had no chance of getting Trapattoni.”
Italy coach Roberto Donadoni is in talks about extending his contract.
Donadoni signed a two-year deal when succeeded Marcello Lippi after Italy’s win in the 2006 World Cup.
Having successfully steered them to Euro 2008, Italy football chiefs are keen to see the 44-year-old in charge beyond the summer tournament.
Ireland meet Donadoni’s Italy in the 2010 World Cup group qualifying.