For nearly a week, the police in Menomonie, Wis., have been at a loss to identify a suspect or a motive in the fatal beating of a Saudi Arabian college student outside a pizza restaurant. Now, the city is trying to change that by raising money for a reward. The tally so far? $20,000.

The student, Hussain Saeed Alnahdi, 24, who enrolled at the University of Wisconsin-Stout in 2015 and studied English and then business administration, was attacked around 2 a.m. Sunday on Main Street East, a stretch of road between the campus and the edge of Lake Menomin, the Menomonie Police Department said.

He was taken to the hospital in Eau Claire, where he died on Monday, the police said.

After his death, the Police Department said it did not believe there was an “ongoing threat” to the community, though it said it had no information about a possible motive. By Thursday, that apparently had not changed.

However, a department commander, Todd W. Swartz, said in an email that witnesses had described a possible suspect: a six-foot-tall white man.