Burnley is relegated from the Premier League following a 2-1 defeat to Newcastle.
Burnley had an early setback as Collins handled in the area, allowing Wilson to score from close range.
And Burnley battled valiantly throughout, but a lack of quality in the last third severely restricted them.
And it got worse for them when Saint-Maximin teed Wilson up for his second.
The hosts pulled one back through Cornet and threw everything at finding an equaliser, but ultimately they came up just short.
BURNLEY (3-5-2): Nick Pope; Nathan Collins, James Tarkowski, Kevin Long; Connor Roberts, Dwight McNeil, Josh Brownhill, Jack Cork, Charlie Taylor; Ashley Barnes, Maxwel Cornet.
SUBS: Bobby Thomas, Joseph McGlynn, Owen Dodgson, Wayne Hennessey, Phil Bardsley, Aaron Lennon, Dale Stephens, Dara Costelloe, Wout Weghorst.
NEWCASTLE UNITED (4-3-3): Martin Dubravka; Kieran Trippier, Jamaal Lascelles, Dan Burn, Matt Targett; Sean Longstaff, Bruno Guimaraes, Joelinton; Miguel Almiron, Callum Wilson, Allan Saint-Maximin.
SUBS: Dwight Gayle, Chris Wood, Fabian Schar, Emil Krafth, Federico Fernandez, Karl Darlow, Jacob Murphy, Matt Ritchie, Paul Dummett.
GOAL! WILSON! 1-0. Wilson steps up confidently and sends Pope the wrong way before rolling it calmly into the back of the net!
And Wilson doubles Newcastle’s lead! 2-0. Saint-Maximin leads a counter-attack for the visitors and drives into the area before drilling it towards the six-yard box, where Wilson is on hand to guide a precise finish into the bottom corner!
GOAL! CORNET! 2-1. Burnley pulls one back. Collins picks out Cornet with a low cross, and the attacker fires one shot at Dubravka before pouncing on the rebound and drilling it in from 10 yards!
So, what’s next for Burnley and Newcastle United?
The result means that Burnley Football Club finished in the 18th and is relegated from the Premier League. Newcastle finishes 11th.