Marc Bartra's wrist surgery "went well" after the defender was injured in the explosion that appeared to target the team's bus ahead of their Champions League match against Monaco.
Bartra seriously injured in bus attack
Bartra was the only person hurt in the incident, which happened as the coach left the team hotel ahead of Tuesday's quarter-final first leg.
Police were unable to specify what type of explosives were used, but they described the devices as "serious", suggesting they had been hidden under a hedge next to a car park.
The match was subsequently postponed and re-arranged for Wednesday, with Dortmund holding a training session ahead of the game.
Dortmund had confirmed Bartra would undergo an operation on his broken wrist and club president Reinhard Rauball provided a positive update.
"We have heard that everything went well," he told n-tv.