The result leaves Chelsea unbeaten in this UYL campaign.
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Adrian Guerrero first opened the scoring for Barca after halftime before substitute Ibrahim Rabbaj struck late to cancel out the visitors' lead to earn the draw.
Chelsea coach Calum McFarlane handed Reggie Walsh and fellow first teamer Shumaira Mheuka starting places in midfield on the day.
Shane Kluivert featured in Barca's attacker, the teen is the son of Blaugrana legend Patrick Kluivert.
