The Kosovar international clubbed 11 home goals in just 32 Bundesliga and German Cup appearances last season – despite playing for a side that finished third from the bottom.
Rashica, meanwhile, was the last in action for Bremen’s survival play-off against second-tier FC Heidenheim last month, starting both matches as Bremen won on away goals.
However, on Sunday the attacking midfielder – who can play on both flanks – was left out of his squad’s 22-man squad for a pre-season friendly against Eintracht Braunschweig.
Bremen manager Florian Kohfeldt has lined up two separate starting XIs for the warm-up game ahead of the Bundesliga return next month.
Ahead of his side’s 2-0 win, Kohfeldt was asked about the omission of star man Rashica – and the German provided a revealing answer amid stern interest.
He told Bulinews: “We have decided by mutual agreement not to use Milot in this game due to the situation regarding a possible transfer. ”
As for Rashica, the big man – who recorded five assists last year – was due to join RB Leipzig as a replacement for new Chelsea boy Timo Werner, but no move has materialized.
Clubs of interest are expected to look to seize Rashica at a discounted price of around £ 20million – more than £ 10million below his stated release clause.
As stated, Villa and Wolves are in the powerful wing market with an eye for goal and Rashica certainly fits the bill.