The League One club weren't overawed by their opponents at all and could have taken the lead on a few occasions, but Joe Hart stood firm in the visiting goal.
That was before Hart produced the two top saves of an otherwise awful first half, and especially forgettable half for the Hammers. "Considering he's only just come back and we're getting to know him, he did well", West Ham manager David Moyes said after the match, according to the West Ham website.
League One promotion chasers Shrewsbury grew more and more into the contest, however, and had a couple of big chances to open the scoring.
West Ham needed Shrewsbury-born Hart, who began his career with the Shropshire side, to save well from Mat Sadler and Shaun Whalley while Jon Nolan fired over late on.More news: United Nations emergency session humiliating defeat for US
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The harsh play occurred on Sunday in an FA Cup matchup at New Meadow in Shrewsbury, England. "It doesn't feel like the Christmas period unless you're playing loads of games and I love it", the defender said.
"I think the fans could see I was impeded and saw people trying to get my attention".
"I got a good rest on Saturday night expecting to have sore hands today but to be honest with you it was probably one of the easiest games I've played in all season". We were up on them and rattling them the whole game. I felt they were on the front foot and we weren't. "But Shrewsbury had their own problems coming into the game that they had to deal with as well".
Most of Moyes's troops did not look like they relished this duel.