Lord McAlpine is seeking settlement with 20 "high-profile tweeters" who wrongly named him as a paedophile.
The announcement from his lawyer came as the Tory peer reached a £125,000 settlement with ITV and Phillip Schofield.
Andrew Reid declined to name the individuals, but confirmed they could face damages claims reaching thousands of pounds. He also said he had spoken to Scotland Yard about Twitter users who "maliciously" re-tweeted the peer's name.
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