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Wiktionary
ask round

alt. 1 (context idiomatic intransitive English) To enquire about something to different people. 2 (context idiomatic transitive English) To invite someone to your house. vb. 1 (context idiomatic intransitive English) To enquire about something to different people. 2 (context idiomatic transitive English) To invite someone to your house.

WordNet
ask round

v. invite someone to one's house; "Can I invite you for dinner on Sunday night?" [syn: invite, ask over]

Usage examples of "ask round".

Then I thought I'd just ask round in the City about those Peruvian Oil shares, but Levy hadn't even heard of them so far as I could make out.