Musk posted a video of himself walking into the building carrying a sink, raising questions about his planned takeover.
The billionaire faces a Friday deadline to complete the purchase, which he announced months ago but then tried to walk away from.
He agreed to move forward just weeks before a court trial over those moves was due to begin.
Let that sink in as you enter the headquarters of the micro-messaging service. He wrote.
He changed his bio to read "chief twit"
The social media site needs to be changed. According to one report, he is about to make major job cuts.
The location of the San Francisco headquarters of the company was listed on the social media platform, but it was not clear if the meeting took place.
Musk said he wanted to clean up the platform and keep it as a place for free speech.
But Mr Musk, the world's richest man and a prolific Twitter user known for his impulsive style, refused to purchase the company just a few weeks later because he was concerned that the number of fake accounts on the platform was higher than he had been led to believe.
The executives said that Mr Musk wanted out because he was concerned about the price.
Mr Musk revived his takeover plans for the company on the condition that legal proceedings were stopped.
The takeover was seen as offering a heady price for a firm that was struggling to attract users and grow.
He will face trial over the contract if he doesn't complete the deal by October.
Mr Musk said during the earnings call that he was excited about the situation on the social networking site.
"I think it's an asset that has been around for a long time but has incredible potential, although obviously myself and the other investors are overpaying for the company right now," he said.
The electric car-maker is facing a criminal investigation in the US over claims that its vehicles can drive themselves.
According to three people familiar with the matter, the US Department of Justice launched an investigation last year after more than a dozen crashes, some of them fatal, involving the autopilot feature of the car.
Mr Musk said during the call that an upgraded version of "full self-driving" would soon be released by the company.
The BBC asked for comment from the two companies, but neither responded immediately.
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