Everton extended their unbeaten start to the Premier League season as they produced a classy display to deservedly beat Brighton.
Demarai Gray opened the scoring with a fine individual effort four minutes before the break as the Toffees managed a first win at Brighton in five attempts stretching back to April 1983.
Dominic Calvert-Lewin scored his third goal of the campaign from the spot, but only after Richarlison - who wanted to take the penalty - reluctantly gave up the ball.
Seamus Coleman won the penalty after the Everton captain was brought down by Brighton substitute Joel Veltman, and the Republic of Ireland right-back quickly asserted his authority when he convinced Richarlison to hand the ball over to England striker Calvert-Lewin, who converted from 12 yards for the second game in a row.
The result ends Brighton's 100% start to the season and leaves Everton second in the table, if only until the late game between Liverpool and Chelsea.
It was another positive performance from Everton, who have made an impressive start to life under new boss Rafael Benitez with two wins and a draw from three games -the first time the Spaniard has avoided defeat in his first three league games as a Premier League manager.
The Merseyside club also began the 2020-21 campaign in style with four straight wins under Carlo Ancelotti only to fail to win their next four, so Benitez will be keen to avoid a repeat of his predecessor's struggles after the international break.