A 52-year-old woman died and a 16-year-old boy is in a critical condition in hospital following an incident in Penilee Road on Friday.
Police had earlier released an image of a 54-year-old man they wanted to speak to.
A spokeswoman said he had been located in the Dumfries and Galloway area.
An area of Penilee Road has been cordoned off and forensic officers have been carrying out investigations.
A man police said they wanted to trace in connection with a murder and attempted murder in Paisley has been arrested.