Is it permissible to remain and eat with Christians who drink alcohol during a meal with the intention of inviting them to Islam?

Thank you for your zeal in dawah (inviting to Islam). We hope Allah grants you success in serving this religion. However, do not speak about Islam or sit to invite people to it while they are gathered around tables with alcohol and pork. Rather, choose a time when they are not in such a state, because it has been authentically reported from the Prophet, peace and blessings be upon him, that he said: "Whoever believes in Allah and the Last Day, let him not sit at a table where alcoholic drinks are circulated."