The victims were approached by the man and stabbed, RTL reported, adding that one woman was injured in her arm, one more victim has throat and spine injuries and the third woman managed to flee from the scene.
However, following the incident, all three women have been hospitalized.
Media reports on their injuries differ; according to France Info, one woman was wounded in a belly, and another one was stubbed in a chest.
According to France Bleau, the attacker was mentally unstable.
The train station is now on lock-down. Police are currently investigating whether the case is terrorism-related.
Attaque à l’arme blanche à la gare de #Mulhouse. 3 femmes agressées par un homme non encore identifié.
— Bruno Fuchs (@bruno_fuchs) 9 декабря 2018 г.
Toutes nos pensées aux victimes et notre soutien au personnel de la #sncf choqué. pic.twitter.com/9keWJVJqyk
No official comments on the incident have been made yet and a possible reason behind the attack remains unknown.