The Blues were in control of the match but a number of missed chances meant they were always in danger of letting the game slip.
But after Alvaro Morata had two goals ruled out for offside, Javier Hernandez equalised for the Hammers.
And German star Rudiger has slammed his fellow defenders after another "gift" to throw the game.
"I think in the second half we can finish the game.
I remember away at Manchester United, we were in control of the game and in the end we lost", Hazard added.
Bayern Munich vs. Sevilla
His second goal was an audacious overhead kick which dampened the spirits of Juventus and captured all the headlines. Sevilla , have the chance of rewriting history, as they have never reached the semi-finals of the Champions League .
Mourinho suggests Guardiola 'mistake' over Pogba claim
The schedule is like this, that's why this competition is so tough. "Until the end we try it and we had the chances and some positions and unfortunately we could not win".
Offense shut down again in 3-0 loss to Chicago Cubs
Monday: The Chicago Cubs have rescheduled their home opener to Tuesday because of a steady snowfall over Wrigley Field . Chatwood has shut down the Pirates in his two career starts, conceding only two runs in 12 innings.
If West Ham can pocket £5million for a player who only has 15 minutes of first-team football for them, they should take it.
The EPL champions have won just three league matches since last December, but the Belgian forward believes they can make their remaining six games to the end of the season count in their favour.
Lanzini could return to the fold, according to Sky Sports, after being out for the Irons' last two matches with a knee problem suffered whilst out on worldwide duty with Argentina. But like the last few months we didn't and we concede.
Speculation was rife on Sunday evening and Monday morning that Conte had been relieved of his duties at Stamford Bridge.
They are now fifth on the Premier League table with Arsenal mounting pressure on them with just three points separating the two sides.