You can find out about the history of Mumbai with a trip to Mt. Mary Church. Stroll along the seaside or visit the shops in the area.
Though Lilavati Hospital might be what brings you to town, perhaps you'll have a chance to explore more of Mumbai while you are here.
Explore the great outdoors at Bandstand Promenade, a lovely green space in Mumbai. Stroll along the area's seaside, or simply savor its top-notch restaurants.