James McCarthy gave Everton a lead but Watford hit back through Jose Holebas to claim a 1-1 draw.
McCarthy appeared to have secured a half-time lead for the visitors but Holebas levelled matters moments later.
Romelu Lukaku wasted two chances late on but a draw was probably a fair result as neither side really dominated at Vicarage Road.
Jose Manuel Jurado had the first real chance to break the deadlock but he was denied by Joel Robles in the Everton goal.
The away side responded as Heurelho Gomes was forced into a fine stop from a curling Gerard Deulofeu effort.
Ross Barkley then forced a decent stop from Gomes on 37 minutes but Everton did take a lead in first-half injury time as McCarthy pounced on a Miguel Britos error.
The Uruguayan defender failed to control the ball and McCarthy stole possession before slotting the ball beyond Gomes.
Watford levelled almost instantly as Holebas headed home at the far post from a Ben Watson corner.
Everton shaded the second half but they could not find a second goal, but Lukaku will be disappointed not to have snatched a winner.
The Belgian striker had two good chances in the final stages, the best of which came when a Kevin Mirallas free kick was parried to him by Gomes but he somehow managed to hit the crossbar with an empty net gaping.