France, Sept. 23 -- As the neighbourhood of Montmartre groans under the weight of more than 11 million annual visitors, some of its residents are battling to reclaim their cobbled streets from social media-fuelled tourism. But does overtourism need fixing and if so, how?

Ten in the morning on a Tuesday in early September and tourists are already queueing up in front of Le Mur des je t'aime (the Wall of Love) - a 40-square-metre mural tucked behind Abbesses Metro station in Montmartre.

They each strike a pose against the hundreds of enamelled tiles proclaiming "I love you" in 311 languages, phones raised, capturing a slice of Parisian romance for posterity, and probably social media.

The wall, created in 2000 by two French artists, has ga...