MEXICO CITY — Secretary of State Mike Pompeo led a high-level cabinet delegation to Mexico City on Friday to gauge how Mexico’s president-elect intends to reset the fractious relationship between the two countries.

The president-elect, Andrés Manuel López Obrador, a leftist who has pledged to fight corruption and tackle Mexico’s entrenched poverty, was ready for the delegation. He handed Mr. Pompeo a series of proposals on trade, development, security and migration — the issues that are at the heart of the relationship and the source of much of the friction.

Despite the tensions, which have grown under President Trump, Marcelo Ebrard, who will be the next foreign minister, said that he had “reasonable optimism” that Mexico would find “bases for understanding” to improve the relationship.

“The foundation for understanding is development and mutual respect,” Mr. Ebrard said, adding that the transition team would provide more details on the proposals once Mr. Trump responded, perhaps as early as next week.