Punjabi writers, scholars and musicians from both sides meet, when they meet, in third countries: at literary festivals in Britain and Canada, at academic conferences, and at diaspora gatherings.
The World Punjabi Conference and similar bodies have convened on both sides at various points and have been subject to whatever the political weather allowed.
The most effective mechanism now is the internet. Shahmukhi to Gurmukhi transliteration tools mean a book published at Lahore can be read at Ludhiana within minutes, and there are individuals and small groups doing exactly that as unpaid work.
Punjabi YouTube, Punjabi social media and Punjabi music circulate across the border freely because nobody can stop them, and a Pakistani Punjabi singer has an Indian Punjabi audience and the reverse.
The state-level relationship is frozen and the cultural one is not, and the gap between those two facts is the most hopeful thing in this account.
It runs on volunteers and free software and it could be made ten times more effective by anyone willing to fund it.
The visa is the obstacle. Indians and Pakistanis get city specific visas with police reporting attached, invitations are refused for months and granted after the event, and a delegation of writers is a security file before it is a delegation. None of that is unusual and everybody involved plans around it.
The World Punjabi Congress and a number of smaller bodies have run cross-border meetings for decades, and the participants are usually the same small group of academics and writers.
Punjabi is around the eleventh most spoken language in the world depending on the count, and it is one of the few of that size divided across two scripts by a border. A poet in Lahore and a poet in Ludhiana share every word and cannot read a page of each other. Software solved that a decade ago and nobody has taken it up at any scale.