The pace of Roy Krishna created most of the opportunities for the Phoenix in the first half, while Hoole's canny distribution and Kwabena Appiah's speed caused problems for Wellington.
De Silva's quick feet and vision also kept the Phoenix scrambling, with Italiano forced into a quickfire double save after half-an-hour, first blocking Hoole's initial strike then scrambling back to clear De Silva's follow-up.
Barely five minutes later, Hoole featured again, whipping in a well-placed corner which found the net via Andrija Kaludjerovic's head as the Nix striker looked to clear.
Ahead 1-0 at halftime, the Mariners started the second spell strongly, taking just nine minutes to double their lead after a Gui Finkler error at the back gifted possession as Wellington looked to play the ball out.
De Silva's finish sparked Central Coast into a period of sustained pressure, their lead ballooning out to three after 66 minutes when Hoole lashed home into the top right corner from long range to all but put the game beyond doubt.
Vidosic's 71st-minute finish from Matthew Ridenton's well-placed free-kick gave only a brief glimmer of hope for the 5679-strong crowd, with Buhagiar completing a masterful Mariners display with his 93rd-minute strike.
