Shastri did not leave with the Sri Lanka bound squad as he was tied up with media commitments in the ongoing Ashes between Australia and England.
The former India captain had informed the BCCI in advance about his media commitments in England.
Shastri is expected to be in charge of team management until the BCCI names a new head coach, a post left vacant post the departure of Duncan Fletcher.
He had missed the recent series in Zimbabwe for the same reason and arrives here amid India's three-day warm-up game against Sri Lanka Board President's XI.