How can a non-Muslim be convinced of Islam, especially if they feel that they do not find "solace" in it?

Inviting disbelievers to Islam is among the best deeds in the sight of Allah. It is recommended to be sincere in this call, to use a good approach and impactful words, and to equip oneself with religious knowledge to refute misconceptions. Monotheism (Tawhid) should be the first thing people are invited to. As for entertainment, Islam has permitted certain types of permissible amusement, such as archery, horsemanship, and everything that builds the body and preserves health, like swimming. It has also allowed a person to entertain themselves to ward off boredom and weariness. The Prophet (peace be upon him) used to choose opportune times to admonish his companions, fearing their weariness.