In a letter to Pakistan Foreign Minister Shah Mehmood Qureshi, Singh said it is a historic occasion, but regretted his inability to be present.
Sidhu had attended the ground-breaking ceremony of the Kartarpur Corridor in Pakistan last year.
The corridor will connect Darbar Sahib in Kartarpur with Dera Baba Nanak shrine in Gurdaspur district of Punjab.
The decision to open Kartarpur shrine was taken by the National Command and Operation Centre (NCOC) on Saturday due to the approaching death anniversary of Sikhism founder Baba Guru Nanak Dev on September 22.
Project Director Atif Majid said so far 86 per cent of the work on the corridor has been completed.
The corridor will connect the Dera Baba Nanak shrine in India's Punjab with Darbar Sahib at Kartarpur, just 4 kilometres from the International Border, located in Narowal district of Pakistan's Punjab province.
A Foreign Office official told PTI that the eight-member Indian delegation arrived in Lahore at 9.15 am (local time).
The construction of the Dera Baba Nanak-Kartarpur Sahib corridor across the India-Pakistan border has been likened to the fall of the Berlin Wall by Prime Minister Narendra Modi. Here's why the corridor is important.
India has requested Pakistan not to charge the Indian pilgrims.
On Thursday, both countries announced that they would develop Kartarpur corridor in their respective areas, linking Dera Baba Nanak in Punjab's Gurdaspur district with the Gurdwara Darbar Sahib in Pakistan.
'Pakistan has stolen from the Indian diplomatic toolbox a potent rope trick -- bypassing the ruling elite in Delhi (and the Indian establishment) to reach out to Indian Sikhs directly and fostering people-to-people contacts,' points out Ambassador M K Bhadrakumar.
Kartarpur corridor is a 'corridor of love' and there is no sinister design in it, he said on allegations that the corridor could be used to promote separatism in Punjab.
"It is a matter of disappointment that while understanding has been reached on most of the elements for facilitating the visit of pilgrims from India, Pakistan continues to insist on levying a service fee of $ 20 per pilgrim per visit," the MEA said.
Amarinder Singh described the neighbouring nation's action 'knee-jerk and uncalled for'.
The delegates from both sides will discusses issues, including connectivity at the Zero Point and the number of pilgrims to be allowed.
Amarinder Singh told mediapersons that both Kovind and Modi had accepted the Punjab government's invitation to be part of the historic celebrations and that the modalities of their visits would be chalked out after the Kartarpur Corridor opening programme was finalised with Pakistan.
Khalistani separatist Chawla, a close aide of terrorist Hafiz Saeed, is part of the committee, which was not acceptable to India.
India slams the Pakistani prime minister for 'unwarranted reference to J&K' during pious occasion.
In the meeting, which was held in makeshift tents at the Zero point, both the sides discussed timing of completion of bridge, alignment of roads and other engineering aspects of the proposed crossing points.
Sidhu said he had been invited by the Pakistan government for the opening ceremony of the corridor, which will connect Darbar Sahib in Pakistan's Kartarpur with Dera Baba Nanak shrine in Gurdaspur district in Punjab.
Pakistan will allow 5,000 Indian pilgrims to visit the gurdwara every day using the planned corridor, and the numbers could be more on special occasions.
It is the first meeting between officials of India and Pakistan to discuss the Kartarpur corridor issue, amid heightened tensions between the two nations over the Pulwama terror attack, followed by India's pre-emptive air strike on Jaish-e-Mohammed camps in Balakot and Pakistan's subsequent retaliation.
Why can't the Indian government propose to the Chinese a corridor circumambulating the Holy Mountain where people from both sides could perform the yatra again? asks Claude Arpi.
The visit will be followed by the return visit of the Indian delegation to Islamabad on March 28.
"We believe in peace and we are giving a message of peace from here. But, their generals should understand that we have a large Army and we are prepared..."
Both India and Pakistan have announced that stretches would be developed in their respective areas.
Kartarpur Sahib in Pakistan is located across the river Ravi, about four kilometres from the Dera Baba Nanak shrine in Punjab's Gurdaspur district.
Reacting cautiously, MEA said an agreement has been signed between the two countries finalising the modalities for visits and India will stick to it.
Pakistan's foreign minister Shah Mahmood Qureshi tweeted, 'Prime Minister Imran Khan will break ground at Kartarpura facilities on 28 November.'
Modi took on Gandhi for mocking him for chanting 'Bharat Mata ki Jai' at every meeting. The prime minister said he will continue to do so despite Gandhi's 'fatwa' on it.
In the agreement, Pakistan government has also said that information of pilgrims and security clearance by the Indian side will be needed three days prior.
"Peace and harmony is the only way forward to ensure a prosperous future," Dr Singh said.
The request is under "active consideration" of the Union home ministry, he said.
Alam sighed when he heard about Bedi's death before gathering his breath to pay tribute to one of the greatest spinners of all time.
'Indian media taking a myopic view is selectively showing Mr Gopal Singh meeting COAS. Army Chief met all guests at the venue irrespective of identity. A peace initiative should not be subjected to propaganda'
"I condemn is the strongest terms the statement he has made about Sikhs not being able to wear turbans and kadas," the BJP leader from the Sikh community said.
The high commission of India in Dhaka and the assistant high commissions in Chittagong, Rajshahi, Sylhet and Khulna have been assisting in the voluntary return of Indian nationals, he said.
The Aam Aadmi Party has fielded Karamjit Anmol, while the BJP has named North West Delhi MP Hans Raj Hans from Faridkot, a reserved parliamentary constituency.
Gurdwara Darbar Sahib at Kartarpur in Pakistan is the final resting place of Sikhism's founder Guru Nanakji.
But COVID struck and then his health deteriorated as he underwent a heart surgery which was followed by a brain surgery last year.