Alfa Romeo's driver, Kimi Raikkonen, led the morning session on Wednesday and it seemed like it would be the same until the checkered flag.
But Kvyat had the most flexible Pirelli tires – the C5 – stuck on his Toro Rosso, and clocked 1m17.704, 0.058 seconds faster than Raikkonen, with just over 10 minutes.
Kvyat had tried to beat the marker a few minutes earlier and had taken second place before doing better.
Another late charger, Daniel Ricciardo, secured third place for Renault with the C4 tire.
The Australian was focused on the long races with the C2 tire while he was taking the place of Nico Hulkenberg, the morning runner, but he had nevertheless taken a quick lap for sure. ensure third place.
While the last riders were fighting, the Williams remained in the pits, having completed 23 laps in the hands of George Russell. The car did not arrive at the circuit until 4 am and was not ready for the morning session.
Russell clocked a best time of 1m25.625 and this lap was marked by a huge slip at the entrance to the final chicane, which propelled the car into the starting area.
Sebastian Vettel did not make progress in the morning hours as he focused on longer races throughout the session. The Ferrari completed 134 laps.
The Red Bull RB15 completed 109 laps in the hands of Max Verstappen. The Dutchman signed his best time with the C3 tire in the morning, the same compound that Vettel had the habit of finishing with a place in advance.
Hulkenberg was sixth because of his early hour ahead of Romain Grosjean's Haas, who stopped three times in the day.
Pietro Fittipaldi was the first to stop on the track in the VF-19, then Grosjean stopped at the beginning and end of the afternoon session, the latter stopping the red flag and costing the four last minutes of race to the teams.
Fittipaldi took eighth place behind Grosjean, while McLaren chose not to fit the C4 tires to his car for a late lap as he had done the previous two days.
The team appeared later than usual in the morning. Carlos Sainz finally finished 90 laps and finished ninth.
Sergio Perez completed the top 10 for Racing Point, another day where he was ahead of most of his rivals in mileage.
The Mercedes duo, led by Valtteri Bottas, the morning driver, set the 11th and 12th fastest times, but has usually done long races.
The team has not yet used the softer C4 tire, which has so far only been used on C1, C2 and C3.
Bottas and his teammate Lewis Hamilton combined for the most laps for a car at 182.
Test time, day 3:
|1||Daniil Kvyat||Toro Rosso||1m17.704s||137|
|2||Kimi raikkonen||Alfa Romeo||1m17.762s||0058||138|
|5||Max Verstappen||Red Bull||1m18,787s||1083||109|
|ten||Sergio Perez||Race point||1m20.102s||2398||67|