Taylor and his old rival Van Barneveld were even up until the eighth leg where the Englishman landed a double on the seventh attempt to break and go 5-3 up.
It might be the final TV clash between these two veterans, with Taylor set to semi-retire at the end of the 2017 season.
Premier League Darts: Who should you support based on your football club?
Thu, February 2, 2017
Express Sport reveals which Premier League Darts star you should support based on your favourite football club, courtesy of Betway
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Which Premier League Darts player should you support, based on your club?
Meanwhile, Premier League title favourite Michael van Gerwen saw off a strong challenge from Jelle Klaasen to maintain his unbeaten start to the campaign.
Van Gerwen was trailing 3-2 at one stage before hitting back to beat his compatriot 7-4.
Peter Wright stamped his authority on Gary Anderson with four 100-plus finishes within the first six legs of his 7-5 win over the two-time world champion.
James Wade then edged Adrian Lewis 7-4, with Dave Chisnall wrapping up the night with a 7-4 triumph over Kim Huybrechts.
Phil Taylor claimed victory in Leeds last night
The results mean Van Gerwen remains at the top of the table, level on points with Taylor and Wade.
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Klaasen is the only player yet to record a point from the opening three rounds of the Premier League.