At around 11pm a man in his 30s sustained a number of head and facial injuries following the altercation within a domestic premises in the Millport area.
He was transferred to Borders General Hospital for treatment and has since been discharged.
Officers swiftly traced a man as part of their inquiries and he has now been reported to the Procurator Fiscal.
Detective Sergeant James Welsh of Dalkeith CID said: “Attacks of this nature are completely unacceptable and it goes without saying that Police Scotland has a zero tolerance approach towards anyone involved in this sort of criminal activity.
“We will always act on information passed to us.”