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Donald Trump visited the Pittsburgh synagogue attacked by an anti-Semitic gunman on Tuesday and lit candles for each of the 11 slain worshipers.

But the President faced thousands of protesters demonstrating against his presence in the city as victims' families began burying their dead.

The presidential trip came as Trump drew widespread disapproval for inflammatory rhetoric that critics said may have helped provoke the deadliest attack ever on American Jews.

Shrugging off public assertions from Pittsburgh Mayor Bill Peduto that Trump's visit was ill-timed, the president entered the Tree of Life temple where Saturday's shooting rampage occurred, accompanied by first lady Melania .

They were greeted by Rabbi Jeffrey Myers, who led them inside the temple to light ritual yahrzeit candles in memory of the victims.

(Image: UPI / Barcroft Images) (Image: UPI / Barcroft Images)

Emerging about 18 minutes later, the couple walked to a memorial outside the building, where the first lady placed a flower and the president placed a small stone on a marker for each of the dead.

Trump, who according to press secretary Sarah Sanders, described his visit as "very humbling and sad," left in his motorcade after about 30 minutes at the synagogue.

He made no public remarks.

"He wanted today to be about showing respect for the families and the friends of the victims as well as for Jewish Americans," Sanders said.

(Image: UPI / Barcroft Images) (Image: UPI / Barcroft Images)

Several thousand protesters, an ethnically mixed crowd of all ages including members of Pittsburgh's tight-knit Jewish community, held an anti-Trump rally about a block away from the synagogue just as his visit began, singing Old Testament psalms and carrying signs with slogans such as "We build bridges not walls."

Many of their signs carried slogans and imagery invoking one of Squirrel Hill's most famous residents, the late Fred Rogers, whose long-running children's television show "Mr. Rogers' Neighborhood" featured lessons on friendship and kindness.

Their march started on the street where he grew up and ended at the church where he belonged.

(Image: UPI / Barcroft Images) (Image: UPI / Barcroft Images)

Trump also went to a city hospital and visited three police officers, wounded in a gunfight with the shooting suspect, and their families.

Sanders said Trump also spent time with the wife of one of the slain congregants, Richard Gottfried, 65. "She said she wanted to meet the president to let him know that they wanted him there."

Trump's visit to Pennsylvania's second-largest city came just seven days before national elections that will determine whether his Republican Party will maintain control of both houses of Congress or whether the Democrats will seize a majority in one chamber or both.

The president and his wife were joined by Ivanka Trump and Jared Kushner, his daughter and son-in-law, who are Jewish and serve as White House advisers, and by Treasury Secretary Steven Mnuchin, who is also Jewish.

(Image: SIPA USA/PA Images) (Image: UPI / Barcroft Images)

The first funerals for the victims of the attack were held earlier on Tuesday. More than 1,800 people, some from across the United States, came to pay respects to relatives of David Rosenthal, 54, and Cecil Rosenthal, 59, at Rodef Shalom, another synagogue in the Squirrel Hill district that forms the heart of the city's Jewish community. Police officers were posted outside the temple.

The two brothers, who lived at a home for people with disabilities, were among the 11 mostly elderly congregants killed when a gunman stormed into the Tree of Life synagogue and opened fire on worshipers, yelling: "All Jews must die."

The accused gunman, Robert Bowers, 46, was charged on Monday with 29 federal felony counts, including hate crimes, and could face the death penalty if convicted.

(Image: AFP/Getty Images) (Image: Twitter)

The attack has heightened a national debate over Trump's rhetoric, which critics say has contributed to a surge in white nationalist and neo-Nazi activity.

The Trump administration has rejected the notion he has encouraged far-right extremists who have embraced him.

But protest organisers said Trump's frequent tweets about the caravans of Central American migrants traveling through Mexico en route to the United States may have been a factor in provoking Saturday's bloodshed.

They noted that Trump had characterised the caravans as an "invasion" while falsely stating they harbored terrorists and were financed in part by Democrats and the Jewish philanthropist George Soros .

In a social media post on Saturday, Bowers referred to the Hebrew Immigrant Aid Society, a Jewish refugee aid organization, as helping to "bring invaders in that kill our people," declaring: "I can't sit by and watch my people get slaughtered. Screw your optics, I'm going in."

Protest organizers in a statement announcing their rally, said the gunman "believed anti-Semitic lies that Jews were funding the caravan."

The announcement echoed an open letter from a group of local Jewish leaders who told Trump: "You are not welcome in Pittsburgh until you fully denounce white nationalism."

More than 78,000 people have signed the letter, organized and posted online by the Pittsburgh chapter of Bend the Arc, a Jewish organization opposed to what it calls "the immoral agenda of the Trump administration and the Republican Party."