The victim was stabbed within a property in Grieve Road, Cumbernauld, at around 1.40am on Friday.
The incident happened on a ScotRail service during the Christmas period last year.
Gary More, 32, was shot several times in the head and body outside his home in Airdrie in 2018.
Officers remain at the scene in Coatbridge while enquiries are carried out.
Police were called to a disturbance in Brunswick Gardens, Cumbernauld, at around 6.55pm on Thursday.
Five fire engines were sent to the scene at Sadlers Wells Court in East Kilbride on Thursday night.
Tributes have been paid to 25-year-old Natalie Faulds following her death at the weekend.
The 47-year-old man was pronounced dead after being struck by the silver Seat Ibiza on Sunday.
A search was launched for Karen Harland, 48, after she failed to return home.
Lacey-Mae was born on Saturday after a retired midwife rushed her mother to hospital from a church Christmas lunch.
A 48-year-old man has appeared in court after a hoax device was found.
