A number of family members and their supporters have been camped out for three weeks in Gwanghwamun Square, on which up to one million Korean Catholics are expected to converge on August 16 for a huge, open-air mass by the visiting pope.
"We will never remove our tents here until our demands are met," Park Yong-Woo, a family member and spokesman for the protesters, told reporters.
The situation is an extremely sensitive one for the South Korean authorities.
The first visit by a pope for 25 years is a major event, but the government will be extremely wary of public sensibilities in handling the ferry disaster families.
The relatives and their supporters are demanding that parliament pass legislation allowing a full, independent inquiry into the April 16 tragedy that claimed around 300 lives.
Park said the protesters had sent a letter to Pope Francis, urging his understanding.
"Holy Father, please cry with us here together... Please pray for us and protect us from being swept off the square in the name of preparing your mass," the letter read.
Around 30,000 police are expected to be deployed for the August 16 event, which is the religious centrepiece of Francis's four-day visit.
The 6,825-tonne Sewol ferry sank off the country's southwest coast with 476 people on board.
Fifteen Sewol crew members are currently on trial, including the captain and three senior officers who are accused of "homicide through wilful negligence" -- a charge that can carry the death penalty.
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