Chelsea made a bright start at the weekend and took the lead after just seven minutes. Joao Pedro found Morgan Rogers on the edge of the box, and the midfielder finished the move to put the Blues ahead.
However, Chelsea quickly lost control of the game as Hull scored twice to turn the match around. Joao Pedro then restored parity with a powerful finish into the roof of the net, but Chelsea could not find a winner.
The Brazilian believes Chelsea must learn from the result if they are to avoid dropping more points.
"I think we started really well," Pedro said. "We put pressure on them, we controlled the game, but we need to improve on the details because I think in the end, this point is very important for us.
"So we need to analyse and improve. We have to adapt quickly, as soon as possible, because we know how the Premier League is. If you drop points, in the end it will be difficult to recover."
Pedro also expected Hull to defend deep once they took the lead and try to exploit Chelsea on the counter-attack.
"We knew if they got in front they were going to sit at the back and wait for us to come and play for the counter-attack," he said. "It was a tough game.
"In the end, we could get one point, but like I said, we need to improve and I think we're going to improve soon."
The forward has made an impressive start to the campaign, with three goals and three assists in four Premier League appearances after being named the division's Player of the Month for August.
His understanding with Cole Palmer and Rogers has also continued to develop, with Palmer providing the low cross for Joao Pedro's equaliser against Hull.
"When Cole passed to me I just tried to hit it on target and I was very happy to hit a good shot," he said.
"I enjoy playing with Palmer and Rogers a lot because they are very good players and I know when we play close, we can be very dangerous. We showed that again. So I enjoy it a lot and hopefully we can continue to improve even more."
Pedro has also welcomed Xabi Alonso's comparison between the Chelsea forward and former France and Real Madrid striker Karim Benzema.
"I think maybe the style, the way I play - I like to come deep and I like to link up with my team-mates," he said. "But, of course, Benzema is on another level.
"I just try to enjoy every game and try to help my team with goals or assists. I'm in a very good moment and I'm very happy."
Chelsea will now look to turn their improved attacking form into three points when they face Brentford at the Gtech Community Stadium on Friday.