Last summer, the Blues made the decision to strengthen their attacking ranks with Nicolas Jackson, Christopher Nkunku and Deivid Washington.
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The Tricky Trees were under severe pressure from the hosts for the majority of the contest, although a spirited defensive performance limited the Blues to little in the form of glaring chances.
The Blues entered the contest off the back of a 3-1 loss at West Ham United, while Luton had not been in action since suffering a 4-1 defeat to Brighton & Hove Albion on the opening weekend of the campaign.
Attacking deficiencies plagued the Blues all season long last term, as joint-top scorers Kai Havertz and Raheem Sterling managed just nine goals each in all tournaments.