They argue this re-examination is crucial to tackle illegal migration and prevent voters from turning to populist political forces.
Writing in The Guardian, the leaders stated that the current asylum framework is outdated and must evolve to address contemporary challenges.
The ECHR's Article 8 (right to family life) and Article 3 (prohibiting torture) are frequently cited in legal cases to prevent migrant deportations.
European ministers, including Deputy Prime Minister David Lammy, are scheduled to meet in Strasbourg to discuss reforming the treaty's interpretation, with the UK government also planning domestic legislation.