Modi arrives in Kyoto on Saturday on the first leg of his five-day trip. He then moves to Tokyo for scheduled meetings on the following days, including with Emperor Akihito.
Kyoto was a late and somewhat surprising addition to the programme as Modi was originally supposed to travel only to Tokyo.
If it happens, the move by Abe will underscore the personal chemistry he is understood to share with Modi. The two leaders are of similar age, have right-wing views and are well liked by markets and business.
Modi’s trip is likely to include some visits to scientific laboratories in Kyoto and an interaction with business leaders in Tokyo.
The Indian PM has already been on Twitter to flag his trip, saying he is “particularly excited to meet PM @AbeShinzo” with whom he said he enjoyed a warm relationship from previous meetings, when he was chief minister of Gujarat. Modi is one of just three people Abe follows on Twitter.