The U.S. national team midfielder notched his second goal in three games as he continues to make a late push for a World Cup spot.
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The 24-year-old found net when he fed the ball to Adam Le Fondre on the flank, then made a run into the box and nodded home the cross. Williams has enjoyed a steady campaign in England's second tier, making 23 appearances (18 starts) for Reading.
Williams last appeared for the USA in a 2-1 loss at Honduras to kick off the hexagonal stage of World Cup qualifying last February.