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Aston Villa and Scotland are reportedly set to be without John McGinn for three months after he sustained an ankle fracture.
FAI general manager Noel Mooney expects Britain and Ireland to mount a "very credible" 2030 World Cup bid.
The draw for Group D of Euro 2020 saw top seed England paired with 2018 World Cup runners up Croatia, the Czech Republic, and the Playoff C winners.
The Euro 2020 play-off draw took place on Friday, with Scotland to face Israel at Hampden Park in March's semi-finals.
Scotland might have trailed before Ryan Christie struck in Cyprus, with the Celtic winger admitting he believed the hosts had scored first.
Three players have left the Scotland squad, including Scott McTominay and Andrew Robertson.
Scotland manager Steve Clarke said he had omitted Kieran Tierney from the squad for their final two Euro 2020 group qualifiers because of a request from the full-back's club Arsenal.
Scotland have convinced Steven Caulker to play and FIFA to give permission for the CB to change allegiances.
Russia closed in on Euro 2020 on Thursday after Artem Dzyuba's brace helped see off poor Scotland 4-0 and put his side to within a point of qualification for next summer's tournament.