From Longman Dictionary of Contemporary Englishtalk something ↔ up phrasal verbto make something appear more important, interesting, successful etc than it really is Jones talked up the idea at the meeting. → talk→ See Verb table
Examples from the Corpus
talk up• And Clinton, who had endorsed it during the 1992 campaign, was only too happy to talk it up.• What do you imagine goes on in my head all night when you've been talking about splitting up?• His stream of talk was dried up at the source.• His regrets, his apology, his talk of giving up business and his painful honesty had all been faked.• Then Sebastian started talking in terms of giving up his job, and Leith had something else to worry about.• I could hear them talking from up in my bedroom.• They think they gon na talk their way up on it.• The man I am talking about got up slowly. 