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Wiktionary
come up to

vb. (context transitive English) to approach

WordNet
come up to

v. speak to someone [syn: address, accost]

Usage examples of "come up to".

He wished that some day some impressionable and personable young piece of loveliness would have the outrageous honesty to come up to him and simply say "I think you're marvelous and I'd give anything to see you in action", without trying to feed him an inferior plot to work on.