16-year-old Solanki used his strong forehand to outplay Bendre 6-4, 7-5 in the second-round encounter.
Top seed Sriram Balji continued to hold sway on another hot day as he toyed with Suresh Gokul and won 6-1, 6-2 for a last-eight berth.
Seasoned player VM Ranjeet looked in good touch as he toppled Nitin K Sinha 6-0,6-3. The defending champion Vishnu Vardhan beat Vilasier Khate 6-4,6-2
In the women's singles there were no major surprises, with Snehadevi Reddy, Prerna Bhambri and Delhi's Shweta Rana underlining their dominance.
In the Boys' Under-18 draw, top seed Aryan Goveas and second seed BR Nikshep played well under the circumstances.
In the highly competitive Girls Under-18 event, Zeel Desai was sharp as she played with good feel to overcome Shivani Amineni 6-0, 6-1.