The male and female police officers, who have not been named, were seriously injured in the incident which happened as they responded to a call in Knightswood in Glasgow on Sunday night.
Police also want to trace another man – 30-year-old David McLean.
They have released his picture and warned the public not to approach him as he may be dangerous.
Anyone who sees him should instead contact police immediately.
A police spokesman said: “Police Scotland are urgently seeking the assistance of the public to trace the following man in relation to an ongoing inquiry.
“Police are extremely anxious to trace David McLean, aged 30, from Glasgow, pictured in this image.
“Members of the public are warned not to approach this man, as police believe he may be dangerous.”
The 28-year-old man who has been arrested is expected to appear at Glasgow Sheriff Court on Monday.