The war of words between Donald Trump and Hillary Clinton continued early Sunday morning, as he hit back at her claim that he wanted to allow guns in classrooms.

Clinton made the remarks Saturday night, at a Florida fund-raiser for Circle of Mothers, an organization that aims to 'empower women to transform communities'.

'(Trump says) on his first day in office, he’d mandate that every school in America allow guns in their classrooms,' Clinton claimed, according to the NY Daily News. 'That idea isn’t just way out there. It’s dangerous.'

Denial: Trump Tweeted that Clinton was 'wrong' when she told an audience Saturday that he'd 'mandate that every school in America allow guns in their classrooms'

Speech: Clinton made the remarks in a speech to Circle of Mothers, a community organization focusing on those who have lost family members to guns, in a direct comparison to Trump's speech to the NRA Saturday

Plans: Trump, pictured here talking to the NRA, had in fact said he would 'get rid of gun-free zones' in military bases and classrooms, in an interview with the Outdoor Channel on January 21

'Parents, teachers and schools should have the right to keep guns out of classrooms - just like Donald Trump does at many of his hotels, by the way,' she added.

But Trump shot back on Twitter: 'Crooked Hillary said that I want guns brought into the school classroom. Wrong!'

But in an interview with Outdoor Channel on January 21, Trump did say he wanted to repeal the laws that ban guns in schools.

'I’m going to get rid of the gun-free zones on the military bases,' he said. 'I’m also going to do it in schools.

'You say you have a school, and it’s gun-free. The criminals are out there saying, "This is incredible. This is perfect. There’s no guns in there. I’m the only one that’s going to have guns." You can’t do it.'

'I’m going to work with the states, and if I have to, I’m going to try and perhaps override the states if I have to, if I’m allowed to do that.'

Clinton's remarks to the anti-gun group came in direct opposition to Trump's own speech at the NRA convention Saturday night.

There, he called her 'the most anti-gun, anti-Second-Amendment candidate ever to run for office'.

That was something she made an effort to refute, CNN said.

'I lived in Arkansas and I represented upstate New York. I know that gun ownership is part of the fabric of a lot of law-abiding communities,' Clinton said.

'I also know that we can have common-sense gun reforms that keep weapons out of the hands of criminals and the violently unstable while respecting responsible gun owners.'

'Despite all the political noise we are actually united on this issue,' Clinton said.

'The vast majority of Americans support comprehensive background checks... This isn’t a matter of building public support.

'We already have it. It’s a matter of making elected officials do their jobs to keep our children safe.'

Reform: Clinton, who has been accused by Trump of wanting to destroy the Second Amendment, said she wanted to restrict gun access to criminals and the mentally unwell while 'respecting responsible gun owners'

The risk to children from guns was a topic that Clinton kept returning to, in recognition of her audience.

She had been introduced to the stage by Circle of Mothers founder Sybrina Fulton - mother of teen Trayvon Martin, who was shot dead by neighborhood watch volunteer George Zimmerman in 2012 -and spoke to an audience that had been touched by gun violence.

Clinton promised to 'do something about the gun violence that stalks communities and terrorizes families.'

'Something is wrong when young people just starting their lives are dying,' she said.

'Something is wrong when so many parents live in fear that their child will be hurt or killed just for being a young black man in a hooded sweatshirt like Trayvon.'

And she made a particular point of showing her disgust at Trump, saying that 'unlike (him)' she would not 'pander to the gun lobby'.

'We will not be silenced and we will not be intimidated,' she added.

'As long as children anywhere are being killed by gun violence, we will keep fighting for our kids, because they deserve a president who stands up for them and stands with the mothers here. Their lives are valuable.'