She also empathised with Bollywood actor Raza Murad who was reportedly denied visa to Pakistan.
"It is a miracle by Nizamuddin Baba that I am here with you all, taking part in this peace march. Otherwise, it was just not possible. I had been put on a flight to Lahore and the plane had started moving when the permission to enter Delhi was finally given," Meera told reporters.
Meera, who visited Mahatma Gandhi's samadhi at Rajghat along with filmmaker Mahesh Bhatt to spend some time with with the participants in an Indo-Pak peace march from Delhi to Multan, said she prayed to the Sufi saint Nizamuddin Auliya for peace between India and Pakistan.
Meera landed at the Indira Gandhi International Airport yesterday to take part in the the peace march but was held up at the airport for nearly six hours as her visa mentioned Mumbai as the port of entry.
Her detention ended in Bollywood-style high-drama, as officials from the Ministries of External Affairs and Home reached the airport and got her off the plane to Lahore facilitating her entry into the national capital.
Empathising with Murad, she said, "I apologise to Raza Murad on behalf of my countrymen. There must be some technical problem why he was denied visa. Whatever be the reason, I apologise to him if he has faced any problems."
About her airport experience, Meera said, "Zyadti to bahut hui. But I thank the Indian authorities for finally allowing me to come here."
"People in both countries want peace. I am happy I have got an opportunity to contribute to the peace process by being associated with the march," Meera said.
Praising Pakistan President Pervez Musharraf, she said, "I admire him for his decisions which have helped the peace process."
The actress, who was recently embroiled in a furore over her kissing scene in Bhatt's film Nazar, the first-ever Indo-Pak co-production, refused to comment on whether she planned to work in more Bollywood films.
"What happened to Meera at the airport yesterday is an example of the biases that the two countries harbour against each other. You cannot change things overnight with a magic wand. But the civil society needs to become more active in making peace between the two countries a reality," Bhatt said.
He announced that in the series of people-to-people contacts, on April 23 and 24, symposia will be held in Delhi and Hyderabad in which people from both the countries will participate.