Saying the 17-year-old's death happened on Scott's watch, the protesters have renewed their request that the Republican governor call state legislators into special session to repeal the law which justifies the use of deadly force when a person's life is in danger.
"There has to be a comprehensive approach to make sure every child in Florida can feel safe again," Gabriel Pendas told the governor.
Scott listened intently and took copious notes on a yellow legal pad. But at the end of the meeting he told them directly that he supported keeping the "stand your ground" law intact and he would not call a special session.
Scott, who said he had spoken earlier in the evening with Martin's mother, Sybrina Fulton, instead said he would call for a day of prayer on Sunday for "unity."
He also urged the protesters to talk to local legislators if they wanted to change state law and offer them examples of why they believe it may lead to more violence.
"If you believe stand your ground should be repealed tell them why," Scott said.
It is considered unlikely that the GOP-controlled Legislature would revisit the stand your ground law, which had the strong backing of the National Rifle Association.
The governor also asked them to give him ideas about how to combat racial profiling.
Near the end of the meeting, Scott told them: "I appreciate you and I look forward to seeing you again."