A 63-year-old Melbourne man, extradited from Victoria on Friday in connection with the cold-case death of a lecturer and antique collector in Sydney's inner west, is due to face court in Sydney.

Tatiana Sokoloff, 56, who taught Italian at the University of Sydney, was found dead on the back verandah of her house in Dudley Street, Haberfield, in September 1986.

Tatiana Sokoloff, who was killed aged 56, was a professor in Italian at the University of Sydney. Credit:Police Media

A post-mortem examination found she died from head injuries and strangulation, but no one was charged at the time.

NSW Police arrested the man in a car park in Melbourne's north-west about 4pm on Thursday.