One possible remedy is asymmetric price caps on Telcel or Telmex. In other words, price caps on Slim's companies, but no one else's.
The use of such a remedy has been a topic of speculation among market-watchers, because Slim has long been accused of being a quasi-monopolist and using his dominant position to keep prices higher than they otherwise would be in the face of more competition.
In his interview with CNBC, Slim showed no concern about price caps, even saying that remedy would be a "happy" outcome.
"Because it's an industry that we have [lower] prices constantly [over] 20 years and I think it's an industry where constantly, because of the improvement of technology, and the [increased] volumes of use, prices go down and down and down," he said.
Another possible remedy would be a forced sale of part of the company.
"We don't worry about that," said Slim. He suggested he didn't think that was the intention of the new law, but if it were to happen, he's sure assets would be sold "at a reasonable price."
Slim is the most controversial business man in Mexico in large part because he is so wealthy. He is currently the world's second richest man after Bill Gates, with a net worth of just under $70 billion, according to the latest estimates from Forbes. Between trusts and companies under his command, he controls 31 percent of America Movil. That earns him $267 million in annual dividends.
His critics, of which there are many, say his wealth comes from anti-competitive practices that have prevented new entrants into markets and caused Mexicans to spend too much on telephony. It's a criticism he vigorously rejects—citing the presence of other telephone providers in Mexico. He argues that America Movil's large market share comes from its decision to invest and provide better coverage than any of its competitors.