Man of the match Khaled Salah was the standout for the Uni side along with captain Kye Middleton and Dominic Jakszuk at centre back.
The visitors looked dangerous on the break but Jakszuk, Albert Bucchino and Lewis Harvey dealt with all City through at them.
The teams went into the half-time break locked at nil-all, but in an explosive 20 minute period the damage was done for Curtin.
Salhah showboated his way past some hapless Melville defending before feeding Smith who teed up Tikoft to fire home and give the home side the lead. Next it was Smith who would get on the score sheet with a powerful header that left Grgurinovic with no chance.
It got worse for the visitors when Chiellini made it 3-0. As the ball sat up for the play maker he struck a vicious, dipping volley from 25 yards that showed why he is rated one of the best in the league. The impressive Thapa then found himself some space on the edge of the box to round out the scoring with a fine finish to make it 4-0.