Prime Minister Benjamin Netanyahu sidestepped on Tuesday a demand by Mexico for an Israeli apology over a tweet in which he appeared to praise U.S. President Donald Trump's plans to build a wall on the Mexican border.

Instead, Netanyahu echoed previous Israeli explanations - rejected as insufficient by Mexico's foreign minister on Monday - of his remarks on Twitter, saying those comments did not refer to ties between the United States and its southern neighbor.

"I did point out the remarkable success of Israel's security fence. But I did not comment about U.S.-Mexico relations. We've had, and will continue to have, good relations with Mexico," Netanyahu said in English at a cybersecurity conference in Tel Aviv.

In a tweet on Saturday that drew a rebuke from Mexico, the right-wing Netanyahu wrote: "President Trump is right. I built a wall along Israel's southern border. It stopped all illegal immigration. Great success. Great idea."

Netanyahu, in public remarks on Monday, said he had been referring to Trump's praise for the barrier Israel constructed along the Egyptian frontier, a fence with electronic sensors that has largely halted the influx of African migrants.

But Mexican Foreign Minister Luis Videgaray said on Monday it was obvious Netanyahu had been commenting in the tweet on the U.S.-Mexican relationship. "I think an apology ... would be appropriate in this case," Videgaray said, while noting that Israel was a "close friend" of Mexico.

Israeli President Reuven Rivlin planned to phone Mexican President Enrique Pena Nieto later in the day "to stress the importance of the relationship between their two countries", a source close to Rivlin said.

The source declined to comment on whether Rivlin, whose post is largely ceremonial, would formally apologize to Mexico on behalf of Israel.

Trump's planned border wall, which he says will keep out illegal immigrants, along with his threat to impose punitive taxes against Mexico to rebalance trade, has brought about the worst crisis in bilateral relations for decades.

Political commentators and opposition politicians in Israel said Netanyahu's tweet had needlessly thrust Israel into the U.S.-Mexican feud.