Formal:
* स्वागतम गृहम् (Swagatam Griham): This literally translates to "Welcome to the house." It's a more formal way to greet someone coming home.
* गृहं गच्छ (Griham Gachch): This means "Go to the house" and is used to invite someone home. It's also a formal greeting.
Informal:
* गृहे आगच्छ (Grihe Aagachch): This means "Come to the house" and is a more informal way to invite someone home.
* आगच्छ (Aagachch): Simply "Come," which is often used for someone returning home.
Other possibilities:
* सुखं गृहम् (Sukham Griham): "Comfortable house," implying a sense of peace and relaxation.
* अभिनन्दनम् (Abhinandanam): "Welcome," a general greeting that can be used for someone coming home.
Ultimately, the best way to say "Welcome home" in Sanskrit depends on your specific situation and the tone you want to convey.