The United heavyweights have now established a handy lead ahead of the return leg at Old Trafford in September, thanks to goals from Jesper Blomqvist (14), Karel Poborsky (57) and Dwight Yorke (77).
Chelsea created numerous chances throughout, and it looked as if Mauricio Pochettino's men would pay for their wasteful finishing for a second consecutive match.
Eze's sweetly struck free-kick put the visitors ahead in the 59th minute and there were grumbles from the home fans as chances were missed early in the second.
The 29-year-old scored the only goal in Saturday's victory over Newcastle, and created eight goalscoring chances. But Wright is not hopeful the German will stay. "I'd love to be proved wrong," he said.
Loyalty has its own reward as 77-year-old grandmother also known as Alhaja Hasaan Nosimot Amoke, who is a staunch Arsenal was rewarded with another cash gift.
The Arsenal guy has also created 77chances while the Manchester-born star has taken credit for only 52. In 1-on-1 situations, Bukayo has been better this term. He had already completed 41 take-ons ahead of the encounter.
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"Yes [it feels like two points dropped] because I feel until 77 minutes when we conceded the first goal, I think we were in control and didn't concede many chances," Pochettino told reporters.
Nigeria is currently enjoying exemptions from the OPEC/non-OPEC oil output cut and so adopting a lower oil output may jeopardise the country's chances in future negotiations with the other oil producing nations.
They followed that with another defeat, this time at home to Feyenoord, Sebastian Pardo's fourth-minute goal proved the only decisive moment in a frustrating night at St James' Park where the hosts missed a host of chances.