The Guinea-Bissau international is one of several names under consideration at the City Ground, with Forest keen to strengthen their attack following Glasner's appointment earlier this month as successor to Vitor Pereira, who was dismissed despite keeping the club up last season.
Beto, 28, scored 10 goals in all competitions last season as he alternated up front with Thierno Barry, who has himself attracted interest from RB Leipzig this summer, with the Bundesliga club making an enquiry over his availability given their data-driven recruitment approach.
Everton would be reluctant to sanction Beto's departure without first securing a replacement, given manager David Moyes wants to strengthen his attacking options regardless of what happens with either forward.
The Toffees have already been credited with interest in several alternatives as they look to add greater firepower following a season in which they finished 13th in the Premier League, with the club having invested £27m in Barry last summer only for his first campaign in England to prove inconsistent.
Beto himself attracted interest from clubs in Italy during the January transfer window, though nothing concrete materialised at the time, and he finished the season strongly, scoring eight of his nine Premier League goals after the turn of the year.
Nottingham Forest, meanwhile, are yet to make their first permanent signing of the summer under Glasner, though the club are also working on a deal to bring in Sporting CP centre-back Ousmane Diomande and remain in talks over Tottenham midfielder Lucas Bergvall as they look to replace Elliot Anderson following his £116m move to Manchester City.
Glasner has been reluctant to discuss individual transfer targets publicly, insisting after a pre-season win over Blackburn Rovers that he prefers to let deals be confirmed before commenting on speculation, with the club's recruitment team continuing to work on multiple fronts as pre-season progresses ahead of the new Premier League campaign.