Neither of your sentences makes much sense to me. Have you any context?
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pructusThey called him around them.It's backwards*. It should be "He called them around him".
pructusCan we say, "He called them around (him).", omitting "him"?Yes.
pructus"I called him around the office" can mean two meanings below?1. I called him at a place near the office.2. I called and told him to come to the place near the office.That's a very unlikely sentence. I really don't know what to tell you. I don't think it clearly has either of those meanings.