England had a greater share of possession but managed just three shots on target, while the United States had only one as both sides lacked a cutting edge in attack.
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The result at Al-Bayt stadium in Al-Khor keeps England top of the group, a point ahead of Iran and two points ahead of third-placed the United States, with each team having one group game remaining.
England remains at the top of the group and a win against Wales in the last match will be enough to advance to the round of 16 as first; the United States is third, one point behind Iran, which with its win against Wales, occupies second place.