The man who was murdered at a house in Portland Street in Lincoln has been named by Lincolnshire Police as Vasilijs Ransevs.
The 33-year-old man was originally from Latvia. He had been living in Lincoln for about two years and lived in Peterborough before that.
A dedicated team of detectives is now working to establish exactly what took place, Lincolnshire Police said in a statement.
Officers are keen to build up a picture of his life and are appealing for anyone who knew him to get in touch with them as soon as possible.
Police are also appealing for anyone with any information on this incident, or anyone who saw any suspicious activity in the High Street end of Portland Street between Wednesday June 12 and the morning of Sunday June 16, to get in touch with them as soon as possible.
Anyone with any information can call 101 quoting incident number 178 of June 16 or call Crimestoppers anonymously on 0800 555 111.
There is a continued police presence in the Portland Street area of the city and anyone with any concerns should approach officers and discuss the matter with them.