Abdulla and Abdul Hafiz, aged 38 and 44, were set upon by multiple people in Lord Street, in the Palfrey area, at around 10.45pm on Monday.
No arrests have yet been made but police officers are appealing for more information as part of the investigation.
Abdulla suffered severe bruising to his eye which has now become infected and caused him blurry vision.
Abdul suffered a fractured hip and was hospitalised for three days.
A spokesman for West Midlands Police said: "It’s understood the men were struck with weapons following a dispute, but fortunately their injuries were not serious.
"Attackers are believed to have come from a property on the street, then fled, and we’re carrying out enquiries at the address and assessing CCTV in our attempts to identify those involved.
"We’re speaking to the injured men, one aged in his 30s and the other in his 40s, to obtain further information.
"Anyone who can assist our investigation is asked to contact us via Live Chat or by calling 101. Quote 20WS/59279Y/21."
Alternatively, contact Crimestoppers anonymously on 0800 555111 or at crimestoppers-uk.org