The 24-year-old Londoner, a former Commonwealth Games gold-medallist who competed at London 2012, took bronze in the women's -64kg category in Batumi, Georgia, as she bids for Tokyo 2020 qualification.
Smith, who also won -63kg silver at the 2018 Commonwealth Games on Australia's Gold Coast, completed two of her three snatches, hitting 93 and 96kgs respectively before hitting out on 98kg.
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But she roared back in the clean and jerk, nailing three lifts from three - 122, 126 and 128kg respectively.
That saw her take clean and jerk silver, as well as bronze overall for the classification.
Romanian duo Loredana Toma – the 2017 World Champion – and Irina Lepsa took overall gold and silver respectively.
Smith was joined in -64kg action by another British Commonwealth Games medal-winner in Sarah Davies, who took -69kg silver on the Gold Coast last year.
The 26-year-old finished fourth overall, hitting a maximum of 98kg in the snatch and 125kg in the clean and jerk.
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