A 26-year-old man, a resident of Borgholm municipality, is requested to be detained on probable cause for attempted murder, which is the higher degree of suspicion.
The man is also suspected of a serious weapon crime, vandalism and causing danger to another.
A 28-year-old man, a resident of Torsås municipality, is also wanted in custody on suspicion of aiding and abetting an attempted murder.
The Scots hit an apartment on Värsnäsvägen and according to the police, one person was at home.
Pictures from the scene show damage to a window, but no one was injured in the shooting.
Several shootings in Kalmar
Since February 11, when a 22-year-old man was found dead with gunshot wounds to the head on Östra Vallgatan in Kalmar, several shootings have occurred.
On February 19, for example, another shooting took place against an apartment and as late as the night before Monday, a man in his 25s was shot to death at Ängöleden.