Poor finishing and several fine saves by Lukasz Fabianski kept Newcastle at bay before Jordan Ayew fired the visitors ahead on the hour, heading a Mike van der Hoorn cross past Karl Darlow after the home team's keeper parried his first attempt.
VAR has been trialled in the last seven days in both The FA Cup and semi-finals of The Carabao Cup, and Carvalhal insisted that if it was used in this clash his side would have had a man advantage and a spot-kick.
I would not be honest if I said I saw from the bench.
"Things are still very hard for us and there's a lot of work to do, but I think people can see that we are progressing".
"Usually teams in our position have these type of decisions not go in our favour, I don't know why", the manager proclaimed.
"I am absolutely sure that would have been a red card and a penalty, absolutely sure". "Say to stop the game and issue a red card and give a penalty." .
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"In 10 seconds the video referee could communicate", the Portuguese national stated.
"But we have a point at Newcastle so we have four points from two away games and not a bad performance against Tottenham".
"I'm very happy, two away games and we get four points - it's not excellent but it is good", he told Match of the Day.
Gayle should have done much better when he headed well wide after good work down the left from Perez, who could find neither power nor direction with an effort from the right of the box after Swansea again surrendered possession.
"We will make it hard for them [Liverpool and Arsenal]".
"I think we had 57% possession but we also tried to move the ball into the spaces to create damage to the defensive organisation of Newcastle".