Mexico's government on Tuesday warned Mexican companies that it would not be in their best "interests" to participate in the construction of U.S. President Donald Trump's border wall, though there will be no legal restrictions or sanctions to stop them if they tried.

While some Mexican companies stand to potentially benefit from the controversial infrastructure project, residents south of the border view the wall and Trump's repeated calls to have Mexico pay for it as offensive. That is putting public pressure on firms to abstain from participating.

"We're not going to have laws to restrict (companies), but I believe considering your reputation it would undoubtedly be in your interest to not participate in the construction of the wall," said Mexican Economy Minister Ildefonso Guajardo.

"There won't be a law with sanctions, but Mexicans and Mexican consumers will know how to value those companies that are loyal to our national identity and those that are not," Guajardo added.

His comments echo those of Mexico's foreign minister Luis Videgaray, who said on Friday that Mexican companies that see a business opportunity in the wall should "check their conscience" first.