Wilkinson's haul - consisting of five penalties and a conversion - was supplemented by a second-half try from Steffon Armitage as Toulon ran out 22-14 winners at Cardiff Arms Park.
Cardiff scored the opening try inside two minutes, the ball being moved quickly from a scrum to Tom James on the left wing. James stretched his legs, drew his man and released Leigh Halfpenny on the inside for a run to the line.
Halfpenny failed with the conversion and Toulon stand-off Wilkinson soon showed him how it's done, landing a pair of penalties to move his side 6-5 ahead after quarter-of-an-hour.
Cardiff suffered a further blow when outside centre Gavin Evans was stretchered off after slipping and taking an accidental blow to the face in a collision with Toulon Delon Armitage.
Halfpenny scuffed one penalty chance after a lineout infringement, made amends just before half-time to give Cardiff a 9-8 advantage at the break and then slipped over and missed a third penalty chance in the 51st minute.
A penalty exchange between Wilkinson and Halfpenny, albeit after again not making clean contact, meant the Blues held a one-point lead with less than 20 minutes remaining.
But Toulon struck the decisive blow in the 63rd minute, Matt Giteau setting up a close-range finish for Steffon Armitage after breaking the first line of defence with a show-and-go.
The conversion made it 19-11 to Toulon and Wilkinson answered a further penalty from Halfpenny to close out the result.
Cardiff would have to break new ground to make the quarter-finals as no side has ever qualified after losing their losing their opening two matches.
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The Barbarians are one of the top invitational rugby sides with a long history and classic rugby jersey.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Lions get ready for their matches with this green training jersey. It's what the players wear. Get in the Gear!
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
$29.99
The Lions are ready to get their Australia tour underway. They arrive in Perth on Monday.
The New Zealand All Blacks training jersey for 2013/14. Get in the Gear!
The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.
