The street was cordoned off overnight for crime scene investigators to carry out forensic examinations.
Officers carried out door to door inquiries in their search for witnesses.
They will also examine CCTV footage from the busy city road.
Police said they were keen to speak to as many witnesses as possible.
Anyone who saw the argument or the dark-coloured Land Rover should call Lower Lane CID on 0151 777 4564.
Witnesses can also call Crimestoppers anonymously on 0800 555 111.
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