Glasgow's Hampden Park has made an early bid to host the 2019 Europa League final, while Windsor Park have bid to stage the UEFA Super Cup in Belfast.
Hampden have also made initial applications for the Super Cup and women's Champions League final, although the Scottish FA must decide by June 6 which of these three they wish to focus on.
Six countries have made bids for the women's finale while Hampden, Windsor Park and eight other countries are interested in hosting the Super Cup which is played in August featuring the winners of the previous season's Champions League and Europa League.
Member associations can only ultimately apply for one final, with UEFA's executive committee making their decision in September.
Hampden, which can now hold 52,000 spectators, has twice staged the final of the European Cup/Champions League, in 1960 and 2002, the UEFA Cup in 2007, and the now-defunct European Cup Winners' Cup final on two occasions.
Windsor Park has recently been redeveloped, and can hold nearly 19,000 fans, but has never staged a European club final in its history.
In addition to Northern Ireland and Scotland, 13 other countries have submitted bids across the four club tournaments run by UEFA.
The 2019 Champions League final will be played at either Baku's National Stadium, the centrepiece of the 2015 European Games, or the new stadium Atletico Madrid are scheduled to move into next season, the Wanda Metropolitano.