Question:
If during Shivah one visits the same mourners more than one time, does one say "May Hashem comfort you among the mourners of Zion and Jerusalem" at the end of every Shivah visit?
Answer:
Hello,
Yes, one says it each time they visit to comfort the mourners. The idea of saying Hamakom Yinachem eschem is that we are telling the mourner that, essentially, it is not possible for us to change the person’s emotional loss over their loved one. However, Hashem (Hamakom) makes a miracle, and He will find the way to comfort the person in their loss. This blessing that the comforter gives to the mourner, in a way, activates this bracha. Therefore, each time it is said, it adds to the bracha for the mourner.
Best wishes
Sources:
מכתב מאליהו ח"ד עמ' 342 הובא בדעת סופרים ס' שע"ו ס"ק א', ועמק דבר אות י"ח. דברי סופרים פכח אות כ', "ולפי"ז בכל פעם שמנחם ואומר המקום ינחם וכו' יש לו מצוה אף אם אינו מוסיף בדברי נחמה כי יש בזה תוספת ברכה".