His exact motives are still not clear, but police Major Ravi Landolt told a news conference: "This is not an attack against a hypothetical person. This is clearly against people from the insurer."
Swiss police are searching for this man
Mr Wrousis, who has two previous convictions for weapons offences, is reported to have entered the offices in Schaffhausen on Monday morning.
He then allegedly attacked a number of people working in the branch of health insurance company CSS.
At least one employee was left with serious injuries, but is now out of danger.
On Monday afternoon, police said the vehicle he was believed to be driving - a white Volkswagen - had been found, but Mr Wrousis remained at large.
People living near the woods just outside the city confirmed to Switzerland's 20 Minuten (in German) that Mr Wrousis had been living in the area for at least a couple of weeks.
One resident told the news site they had reported him to police on two occasions after he verbally attacked them.
Schaffhausen is the capital of the Swiss canton of the same name.
About 36,000 people live in the historic town.
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15:05
Five people have been injured, two seriously, in an attack by an unidentified man in the Swiss town of Schaffhausen, police say.
Parts of the town on the German border have been sealed off after the assault.
Police provided no further details.
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