Conversely, the Italians are one of three sides to have lost both their opening games - alongside Benetton Treviso and the Ospreys - and seeking to end a dry spell.
Zebre have lost each of their last eight GUINNESS PRO12 games, while the closest they have ever come to toppling the Scarlets is a 16-16 draw in October 2013.
Wayne Pivac's side are the only Welsh region never to have lost to Zebre and they will be confident of maintaining that record, heading to Parma on a six-game winning run in the league - their best ever.
On Saturday, Cardiff Blues visit Connacht and Rhys Patchell heads to Galway as the leading point-scorer in the GUINNESS PRO12.
One of four players with three league tries to his name, the fly-half has tallied up 32 points already, but he will be more concerned with the result than his personal haul.
The Blues have lost their last seven games on the road but can take solace in the fact Connacht have won just one of the last 11 meetings between these two.
Patchell may be the league's leading point-scorer but Jason Tovey is its most accurate from the tee, the Newport Gwent Dragons man slotting all seven of his shots at goal so far.
On Saturday he joins the Dragons for a trip to Leinster and the RDS - a fixture they won 16-14 last season.
That formed part of their first ever season double over the Leinstermen and represents the only time the boys in blue lost at home in all competitions since this weekend last year.
The action begins on Friday, when in-form Edinburgh host the struggling Ospreys looking to kick off the campaign with three straight wins for the first time in six years.
And the omens suggest Ospreys could struggle to pick up their first victory of the season - they have won just once in Scotland since September 2009, while the last six encounters between these sides have been won by the hosts.
Glasgow Warriors have the opportunity to extend their GUINNESS PRO12 winning streak against Irish provinces to six when they travel to Munster.
And Benetton Treviso go in search of their first win outside of Italy since May 2013 when they visit the Kingspan Stadium, where Ulster are unbeaten in all competitions since Toulon came to town in October 2013.
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