formula-1
Hamilton's current deal with Mercedes runs out at the end of 2018, but there has have been suggestions that he is eager to extend it for several years after that.
Hamilton led away from pole position and survived an initial attack from Vettel along the Kemmel straight on the first lap, before settling into a rhythm and edging clear.
An announcement about Vettel's new deal came on Saturday, with Ferrari eager to not let speculation about the future of its drivers act as a distraction to its efforts to win the world championship.
Hamilton found even more time on his second Q3 run, clinching pole with a stunning 1m42.553s effort.
Sergio Marchionne has said it is unlikely that Ferrari will follow Formula 1 rival Mercedes into Formula E in the near future, but is open to entering one of the other Fiat brands like Alfa Romeo or Maserati.
Vettel took the chequered flag ahead of Kimi Raikkonen, who was clearly frustrated at being forced to spend the race behind his ailing team mate despite repeatedly urging Ferrari to let him past.
Vettel then set a 1m16.276s best on his first run in Q3 which proved enough to get the job done despite lapping slightly slower on his second attempt.
Sebastian Vettel says that Ferrari was "caught by surprise" after both he and team-mate Kimi Räikkönen hit tyre issues in the closing stages of the British Grand Prix.
Lewis Hamilton won the British Grand Prix to go one point behind Sebastian Vettel in the championship after the Ferrari suffered a late tyre failure.
Lewis Hamilton claimed pole position for the British Grand Prix for the fifth time in his Formula 1 career in qualifying at Silverstone.
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