Morgan Rogers put Chelsea ahead inside seven minutes, only for Mohamed Belloumi to score twice in the space of six minutes either side of the half-hour mark to turn the contest on its head. Joao Pedro's second-half strike ultimately salvaged a point for the hosts, leaving Hull's unbeaten start to life back in the Premier League intact after Sergej Jakirovic's side moved to eight points from four games.
Jakirovic felt the result was a fair reflection of a tight contest at Stamford Bridge.
"It was another game that we could have won and one that we could have lost," Jakirovic said. "We had a few moments, especially in the second half when 2-1 up, when we had the chance to score a third and we had an opportunity at 2-2 to go back in front but they also had a good chance that needed a good save, so in the end I think a draw is maybe a fair result.
"I was very pleased with our response to going behind and how many times have we shown such a good mentality in these situations?"
The Hull City boss was particularly pleased for Belloumi, who scored his first top-flight goals in the match, and confirmed defender Nobel Mendy had suffered a concussion after a clash of heads.
"Mo has shown in the first three games what he can bring at this level and then today he has shown the end product to add to that, which is perfect," Jakirovic said. "We've shown again that we are a serious team and that it is not going to be easy to beat us."
Alonso, whose side have now conceded 10 goals in five games across all competitions, admitted the pattern of throwing away control of matches needed urgent attention.
"It's all maybe entertaining, but I hope that one day you say it was a boring game and we win," Alonso said. "It kind of repeats some patterns that we are making. It was too soft to give them this hope because until then we were controlling, we were creating chances, but that momentum that we had changed the mood and the score of the game and it's something that we need to be talking about, we address and we will get better, but it's having an impact on our performances at the moment."
Asked whether his side defended set-pieces worse than they attacked them, Alonso did not disagree.
"Overall, I think that we are attacking better than defending in every part," he said. "Open play, set-pieces, long balls, this toughness, this competitive sense, we can do better."