One fellow (A) lies only on Mondays, Tuesdays, and Wednesdays, and tells the truth on other days, and his friend (B) lies on Thursdays, Fridays, and Saturdays, and tells the truth on other days.
At noon, they have the following conversation:
A: I lie on Saturdays.
B: I will lie tomorrow.
A: I lie on Sundays.
On which day of the week does this conversation take place?