"At 2-0 down with 20 minutes to go it was always going to be difficult, but Keith (Treacy) came on and gave us real impetus and the lads kept fighting for each other and we were really pleased with the point.
"In the first half we passed and moved the ball really well and created chances, then on the stroke of half time we found ourselves 1-0 down, which was a huge disappointment.
"Then we went 2-0 down and again we didn't feel we'd done too much wrong, but we kept going and got our rewards in the end."
"Overall I was pleased, the only disappointment was to give away two soft goals," Dyche said.
"But the reality is Burnley is a tough place to come. They have a very experienced squad and very talented players and they are another team who will be fancied to be up there this season.
"To come and take a point is pleasing but we do demand of our players to win and the idea was to come here to win."
The Clarets were the better side in the first half and Dyche admitted: "Burnley are a good side, they moved the ball well and we didn't move it as well as we hoped but we kept our shape well and were dogged.
"I thought the back four were excellent and the keeper - they calmed things down for us.
"We didn't play as well as we can using the ball but that will come, we had four players out there playing their first game for the club. They are learning and gelling."