Goa Pradesh Congress Committee's working president Fransisco Sardinha said the ban on the organisation is not a solution as they could restart activities in some other name.
"I don't know whether they can be legally banned but their movement should be totally monitored," he told reporters here.
Sri Ram Sene Chief Pramod Muttalik had recently revealed the group's plan to open a wing in Goa.
The organisation will be opposing "pub culture" and they, while not resorting to violence, will create awareness against it, he had said.
Sardinha said Sene should not be forcing their beliefs on others.
"You are free to follow different beliefs but you are not free to impose your ideas on others," he said.
To a question, the senior parliamentarian refused to demand monitoring of Sene's movement across India and said, "I am concerned about Goa. Let us talk of Goa first."
Sri Ram Sene hit headlines in 2009 when its activists attacked a group of women in a pub in Mangalore, Karnataka, alleging indecency.