Hamilton police are investigating two random stabbings in the city in which women were targeted with what police believe was a box cutter.

The first stabbing happened around 6:45 p.m. Sunday when a 53-year-old woman was slashed in the head while walking on Cannon Street East, near Wentworth Street North.

After that incident was reported in the media, a second woman called detectives Monday to report a similar attack on Saturday, said Staff Sgt. Mike Cunliffe of the central Criminal Investigations Branch.

In that case, a 43-year-old woman was shovelling show around 11 a.m. at Victoria Avenue North and Evans Street when she was approached by a man on a bike who without warning slashed her.

"She thought initially he was going to punch her in face, but he slashed her with a box cutter," Cunliffe said.

She was treated for a minor injury to her nose.

"These two (incidents) are very concerning to us, the fact that they're random attacks," Cunliffe said.

Police are investigating the connection between the two incidents, including similar "modus operandi" and suspect descriptions.

[ MORE: Woman stabbed in head in 'random' attack ]

In the Cannon Street East incident, the man initially walked by the woman, but then turned back and attacked her without warning from behind. He was last seen running south on Steven Street and then down a nearby alleyway.

In both cases, he was described as being upwards of six-foot-three, with a thin build and wearing a dark coat.

In the Victoria Avenue incident, he's further described as clean shaven, with a prominent nose and wearing a dark brown jacket with a fur hood.

There is no description of the bike.

If the attacks are connected, this isn't the first serial random stabber Hamilton has seen.

In 2011, Loujack Café randomly attacked five people from behind, stabbing four of them.

He was convicted of four counts of attempted murder and one of assault in 2016. Café was sentenced to life in prison with no chance of parole for 10 years.

He was also convicted of first-degree murder for the September 2011 stabbing death of 82-year-old George Burnett, who was found with a knife in his neck.

A second murder charge, for the February 2011 stabbing death of 37-year-old Laura Young, was dismissed after evidence was ruled inadmissible in court.

Anyone with information, including any surveillance video, is asked to call Det. Mike Antonucci at 905-546-4861 or call 911.

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To remain anonymous, call Crime Stoppers at 1-800-222-8477.

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