Brian Walshe made numerous calls in the days after Ana disappeared in 2023 ... including to her lover -- and, prosecutors played the voicemail he left in court Thursday.

Walshe called William Fastow on January 4 ... trying to reach him multiple times -- though Fastow said he avoided picking up the phone multiple times since he knew it was his lover's husband trying to reach out to him, and he worried about some sort of confrontation. Getty

Brian eventually left the message played in court ... in which he tells Fastow he hasn't heard from Ana for several days.

Walshe says Ana also hadn't been to work in a few days ... so, he went to the house to check on her, but it appears she wasn't at home either.

Brian tells Williams he's just calling everyone Ana knows ... and, if he has a

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