The incident happened at around 3.35am on Sunday, August 23.
Police were called to the area following reports of a group of men and women fighting in the street.
It is said three or four of the men arrived in a dark coloured saloon car, believed to be a BMW, which pulled up outside an address in Spencer Street, Scunthorpe.
One was said to be around 6ft tall, with dark hair, wearing a black tank top.
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Another had blonde hair and a third had short dark hair.
A 34-year-old Scunthorpe man was taken to Hull Royal Infirmary with serious head and facial injuries, while a 29-year-old Scunthorpe man was taken to Scunthorpe General Hospital with facial injuries.
Both remain in hospital where their condition is being monitored.
Enquiries are continuing today.
Anyone with information is asked to call 101, quoting log number 153 of August 23.