To make contact; to cover all the possibilities. Comes from baseball where the runners need to touch the base to make a run legal. Mostly used by asshat salesmen and contractors when they want to talk to you over the phone to see if you're interested in something they have for sale, usually around dinner time.
"I'm just calling to Touch Base to see if you need our crappy product/service."
"No, fuck. Leave me alone."
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