The matter had been set to go to a tribunal because of the Canada Under-21 international's age.
Edgar has made only one appearance for the Clarets so far, against Hartlepool in the Carling Cup.
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Roy Hodgson has taken up his first managerial post since departing as England coach after his appointment by Crystal Palace.
Liverpool return to Champions League action at home to Sevilla on Wednesday.
Manchester City face Dutch champions Feyenoord in the first match of their latest Champions League campaign on Wednesday.
Alexis Sanchez, Philippe Coutinho and Virgil van Dijk may not have left their clubs in the transfer window but it
PHILIPPE COUTINHO will be considered for Liverpool's trip to Manchester City on Saturday, reports the Daily Mail.
Dele Alli could face disciplinary action from FIFA after being caught making an obscene gesture on camera during England's