How well the two men get on will determine whether fraught U.S. -Mexico relations improve from current tensions over migration, the North American Free Trade Agreement and Trump's demand that Mexico pay for a border wall.
Lopez Obrador, often called by his initials AMLO, told a Mexican television network that Trump's tweet was "very respectful" and that Mexico was "never going to disrespect the USA government because we want them to respect us". On Saturday, the Democratic Revolution party said four of its members were killed in Mexico State, west of Mexico City, while trying to prevent hand-outs of goods by the ruling party to potential voters. Lopez Obrador, at 65, unlike Trump, is no political novice - he has served as mayor of Mexico City. "There is going to be an orderly but also deep change, because we are going to banish corruption, the main problem facing Mexico".
"I think he's gonna try and help us with border", Trump told the reporters.
"If Trump sends out an offensive tweet, I will take charge and answer him", said incoming Mexican President Andres Manuel Lopez Obrador, known as "AMLO", at a campaign rally in Oaxaca. That compares to 26.1 percent for former speaker of Congress and PAN candidate Ricardo Anaya and 20.8 percent for ex-finance minister Jose Antonio Meade of the PRI party. In his first loss - by a mere 0.56 percent to conservative Felipe Calderon in 2006 - his supporters held months-long protests in Mexico City and he referred to himself as "the legitimate president".
According to Mexico's National Election Institute (INE), Lopez Obrador was leading polls with 53% of the vote.
But the president-elect's senior finance official, Carlos Urzua, tempered fears by clarifying that the Lopez Obrador government was not planning on pursuing major legislative overhauls of the oil sector.
In the end, Lopez Obrador's rants against the "mafia of power" rang most authentic.
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But, he added: " Argentina will play an aggressive style of football, we're going to attack from kick-off". With the talent Messi has, sometimes there is not a great deal you can do because he is so unpredictable.
Lopez Obrador previously vowed to throw the energy reform out but now says contracts merely will be reviewed for any illegalities.
The election came amid a backdrop of mounting tensions between Mexico and the U.S., which some analysts say have pushed relations between the two countries to one of the most divisive points in recent times.
"We will eradicate corruption in Mexico", Obrador told journalists on late Sunday, as quoted by the TV Azteca broadcaster.
Lopez Obrador has been compared to Trump for his populist, nationalist rhetoric and sometimes touchy personality - as well as his past skepticism about NAFTA. "What are the signals that he sends out to markets, to his political opponents, to Mexican society generally, of what he'll actually do when he comes into office?" At a Los Angeles rally a year ago, AMLO said that "the wall and the demagoguery of patriotism are no match for the dignity and humanity of the American people".
Compared with his predecessors, Lopez Obrador is likely to be more focused on domestic economic issues than on settling trade issues with the United States, O'Neil said.
She said she backed leftist front-runner Andres Manuel Lopez Obrador and called him less than ideal but the "best of the bad" options.
Surveys conducted by Consulta Mitofsky and Televisa forecast gubernatorial wins for allies of the Morena party in Chiapas, Morelos, Tabasco and Veracruz, and for head of government in Mexico City.
He contrasted the US immigration laws with "Mexico's very strong immigration laws".