Slovakia qualified for back-to-back European Championships as an extra-time goal saw off Northern Ireland at Windsor Park.
Stephen Kenny is yet to taste victory as Republic of Ireland manager but explained the result against Finland was of secondary importance.
FAI CEO Gary Owens said UEFA is likely to stage the play-offs for the rearranged European Championship over October and November.
The Euro 2020 play-off draw took place on Friday, with Scotland to face Israel at Hampden Park in March's semi-finals.
Wins over Slovakia and Macedonia respectively saw Croatia and Austria reach Euro 2020 on Saturday.
Wales were held to a 1-1 draw by Slovakia in Thursday's Euro 2020 qualifier after Kieffer Moore's header was cancelled out by Juraj Kucka.
UEFA has handed out a number of sanctions to Slovakia, Hungary and Romania after bringing charges including racist behaviour.
Wales "rode their luck" at times in their 1-0 win over Slovakia, according to Ryan Giggs, who said the result would breed confidence.
Daniel James scored after five minutes to put Wales ahead against Slovakia and they shut out their visitors to claim a 1-0 victory.
Tottenham defender Ben Davies would welcome the chance to play alongside fellow Welshman Gareth Bale at club level.