The 5yr-old's dominant victory in Saturday's listed Lightning Handicap was enough for Wingatui trainer Paul Richards to confirm a trip across the Tasman Sea to Melbourne and possibly Adelaide.
The son of Coats Choice settled back early in the 1200m sprint and jockey Chris Johnson opted to stay close to the rail.
The move paid off as Johnson found a gap 300m from the line and Natuzzi burst through to win by a very comfortable two lengths over Whosyourmaster.
''He was just too good for them,'' Richards said.
''Chris said he relaxed good and they went along a bit early on. He just needed a bit of an opening in the straight and once that came, he came home really good.''
Natuzzi again showed his fondness for Trentham, having won last year's edition of the Lightning, and running second in the group 1 Telegraph Handicap in January.
Richards will now turn his attention to Australia and the strong sprinting ranks, which could work in Natuzzi's favour.
Australian sprinters are a permanent fixture near the top of the tree in the worldwide sprinting ranks, with Choisir and Black Caviar just two of the Australian stars to take on the northern hemisphere's best at Royal Ascot and win.
''I've talked to the handicapper over there a couple of times,'' Richards said.
''On his rating before he won yesterday [97], for that group 3 race at Caulfield, he would be on the minimum.
''Obviously that won't be the case now, but he won't be top weight.''
That group 3 race is the Victoria Handicap over 1400m at Caulfield on April 19 - one of two races Richards is considering for Natuzzi's Australian debut. The other option is a 1200m open handicap at Caulfield a week earlier.
After that, the group 1 Goodwood at Morphettville in Adelaide is a prospect ''if he's going good''.
Richards raised the idea of an Australian campaign with Mosgiel owners Bill and Sandra Duell shortly after Natuzzi's second in the Telegraph.
''He could have stayed up there and gone to Awapuni in a fortnight ... but the money over there [in Australia] is good and the Goodwood is a half-million-dollar race.''
Natuzzi left for Auckland on a horse transporter yesterday morning. He will spend ''five or six days'' in a paddock at an agistment farm before the staff at Richard Collett and Gareth McRae's Pukekohe stable will keep Natuzzi ''ticking over'', Richards said.
Richards and the horse are likely to fly to Melbourne on April 2, and the horse will be stabled with ex-pat Kiwi trainer Bevan Laming at Cranbourne.
Natuzzi has had a long campaign, after making his season debut at Riccarton in November, but the key to his freshness is the good gap between races and he has raced only six times.
''I've just given him a break here and there - like, after the White Robe [Handicap on February 1], he had a week off and it just freshens him up mentally and physically.
''The paddock is a great thing to get over a race.''
