One day after the mass shooting at Orlando LGBT nightclub Pulse, Republican presidential candidate Donald Trump is renewing his call for a temporary immigration ban while presumptive Democratic nominee Hillary Clinton says she wants to make it harder for terrorists to get deadly weapons.

Here are some key quotes from Clinton’s speech in Ohio and Trump’s remarks in New Hampshire.

On whether to ban immigration:

Trump vowed that he would “suspend immigration from areas of the world where there is a proven history of terrorism against the United States, Europe or our allies until we fully understand how to end these threats.”

“Although the pause is temporary, we must find out what is going on,” Trump said.

“It will be lifted, this ban, when and if we as a nation are in a position to properly and perfectly screen these people coming into our country,” he added. “They’re pouring in and we don’t know what we’re doing.”

“We cannot continue to allow thousands upon thousands of people to pour into our country, many of whom have the same thought-process as this savage killer,” Trump went on, apparently referring to the gunman Omar Mateen.

Clinton, on the other hand, said “the attack in Orlando makes it even more clear, we cannot contain this threat --we must defeat it.”

She added: “Inflammatory anti-Muslim rhetoric and threatening to ban the families and friends of Muslim Americans as well as millions of Muslim business people and tourists from entering our country hurts the vast majority of Muslims who love freedom and hate terror.”

On the value of gun control:

Clinton said the massacre makes it clear that “we have to make it harder for people who should not have those weapons of war,” pointing out that in the Orlando, San Bernardino and Sandy Hook shootings, the killer used AR-15 assault rifles, which are legal in Florida.

“If the FBI is watching you for a suspected terrorist link, you shouldn’t be able to just go buy a gun with no questions asked,” she added. “And you shouldn’t be able to exploit loopholes and evade criminal background checks by buying online or at a gun show.”

“And yes, if you’re too dangerous to get on a plane, you are too dangerous to buy a gun in America,” Clinton went on.

Trump, meanwhile, mocked Clinton’s proposals for more gun control. “They tried that in France, which has among the toughest gun laws in the world,” he said, “and 130 were brutally murdered by Islamic terrorists in cold blood.”

“Her plan is to disarm law-abiding Americans, abolishing the second amendment, and leaving only the bad guys and terrorists with guns,” Trump went on. “She wants to take away Americans’ guns and then admit the very people who want to slaughter us.”

Trump pointed out his endorsement from the National Rifle Association and said he would consult them on “how to ensure Americans have the means to protect themselves in this age of terror.”

On Syrian refugees:

Trump warned of a “Trojan Horse” by way of Syrian Refugees. “Having learned nothing from these attacks, (Clinton) now plans to massively increase admissions without a screening plan, including a 500 per cent increase in Syrian refugees,” he said.

“Tell me, how stupid is that?” Trump added.

Clinton did not bring up refugees in her speech, but told CBS News is December that she thought the U.S. should boost the number of Syrian refugees from 10,000 to 65,000.

Since 2011, 5,763 Syrian refugees have been admitted to the United States, according to The Associated Press.

“We have to stem the flow of jihadists from Europe and Iraq, Syria, Afghanistan and then back again,” Clinton said Monday. “The only way to do this is by working closely with our partners, strengthening our alliances, not weakening them.”

On the values of Muslim Americans:

Clinton said that “millions of peace-loving Muslims live, work and raise their families across America -- and they are the most likely to recognize the insidious effects of radicalization before it’s too late, and the best positioned to help us block it.”

Although Trump said he wants to “work together, including in partnership with our Muslim communities,” he also blasted Clinton for stating in a recent speech that, “Muslims are peaceful and tolerant people, and have nothing whatsoever to do with terrorism.”

Trump also pointed to Pew Research that found 99 per cent of people in Afghanistan – where American Omar Mateen’s family emigrated from -- support Sharia Law.

Pew Research surveyed Muslim Americans in 2011 but did not ask specifically about Sharia.

It did note that “the one issue on which Muslim Americans do not stand out as especially liberal is on societal acceptance of homosexuality.” It found that 45 per cent of Muslim Americans agreed homosexuality should be discouraged while 39 per cent said it should be accepted. That was compared to 33 per cent of Americans in general who said homosexuality should be discouraged and 58 per cent said it should be accepted.

On solidarity with LGBT Americans:

Clinton said that “the terrorist in Orlando targeted LGBT Americans out of hatred and bigotry, and an attack on any American is an attack on all Americans.”

She added: “to all the LGBT people grieving today in Florida and across our country, you have millions of allies who will always have your back.”

Trump also emphasized the need for “solidarity” with LGBT Americans and called the Orlando massacre an attack on the freedom of people to “love who they want.”

“A radical Islamic terrorist targeted the nightclub not only because he wanted to kill Americans, but in order to execute gay and lesbian citizens because of their sexual orientation,’ Trump said.

“It is a strike at the heart and soul of who we are as a nation,” he added. “It is an assault on the ability of free people to live their lives, love who they want and express their identity.”