The Angels had a meet-and-greet with A-Rod's agent, Scott Boras, at the general managers' meetings. The New York Mets also spoke with Boras but won't say whether they're in or out of the competition.
Tony Reagins, who just took over as the Angels' GM, had glowing words for A-Rod.
"We had an initial conversation with Scott, and it was introductory," he said Wednesday. "He probably makes any team that he's a part of better."
Reagins said if talks progressed, the Angels would welcome a chance to speak with Rodriguez. Reagins acknowledged marketing, as well as baseball skills, would play a role in a decision to sign A-Rod.
"In this day and age, I think that is a part of it," he said.
While the Mets have the cash to sign Rodriguez, they haven't committed to making an offer. Likely to win his third AL MVP award, Rodriguez is expected to sign a deal topping the record $252 million, 10-year contract Texas gave him in 2001.
Other possible destinations are thought to include the Boston Red Sox, Chicago Cubs and Detroit Tigers. All those teams say that they're not interested at this point.