Washington (CNN) President Donald Trump on Sunday emphasized a need for the country to focus on "a very big mental health problem" in the wake of two mass shootings in one weekend that left 32 people dead earlier this month as he appeared to defend current US gun control measures, stating "we do have a lot of background checks right now."

"It's the people that pull the trigger, not the gun that pulls the trigger so we have a very, very big mental health problem and Congress is working on various things and I will be looking at it," Trump told reporters on the tarmac before heading back to Washington after a vacation at his golf club in Bedminster, New Jersey.

The White House, Trump said, is "very much involved" in the discussions Congress is having to address gun violence and while "a lot of things are happening on the gun level" he said "the concept of mental institutions" must be addressed.

"These are people that have to be in institutions for help, I'm not talking about as a form of a prison, I'm saying for help and I think it's something we have to really look at, the whole concept of mental institutions," he said. "I remember growing up we had mental institutions, then they were closed -- in New York, I'm talking about -- they were, many of them closed. A lot of them were closed and all of those people were put out on the street."

"So I think the concept of mental institutions has to be looked at," he said.