Dear [Friend's Name],

I hope this letter finds you well. I wanted to take a moment to thank you and your family for the incredible hospitality during my recent visit to your home. Your kindness and generosity made my stay truly unforgettable.

I wanted to extend an invitation for you and your family to visit me and stay at my place. I would love to return the favor and show you around my city. It would be wonderful to spend more time together and create more cherished memories.

In regards to your questions, the type of letter/email each one asks for is a thank you letter and an invitation letter. I will be reading both letters, and they should include gratitude for their hospitality, an invitation to come and stay with you, and details on the proposed visit.

If you have any questions or need further information, please do not hesitate to reach out. I am looking forward to hearing from you soon and hopefully hosting you and your family at my place.

Best regards,

[Your Name]