Somdev, who has 480 points, had reached the quarterfinals of the ATP Challenger event in Korea last week and that was enough to help him rise further up.
There was no change in the ranking of Yuki Bhambari, who has 480 points.
Mahesh Bhupathi (7) and Leander Paes (8) also found their rankings unchanged in the doubles list.
In the women's rankings, Sania Mirza managed to keep her 58th spot in the singles but dropped two places in doubles to 38th.