Norris completed 38 laps in the morning but missed the final hour and 40 minutes of that session when he stopped with a reported loss of hydraulic pressure.
He completed a solid mileage when running back to underway after the lunch break, but did not improve on the 1m22.306s he set shortly after 10am local time until 5:15 pm when he recorded a 1m19.264s on the C5 Pirelli tire.
That was the first of three short runs the McLaren driver completed, with the second lifting up to fourth before he shot to the top of the times with a 1m17.709s lap on the C4 compound.
But Norris stopped again at Exit Turn 2 with just over 20 minutes of remaining session, bringing out a third
Red Bull driver Gasly has been the fastest in the morning until the late improvement from Alfa Romeo's Antonio Giovinazzi and was denied top spot again by Norris's late effort. [1
Lance Stroll ended in the third day in the Racing Point-Mercedes, a mere 0.115s shy of Norris's time with 82 children in his name.
Sebastian Vettel spent the afternoon at Ferrari's SF90 and had a brief spell at the top of the times , before spending the latter part of the afternoon concentrating on long runs on the C4 and C3 compounds.
While Vettel logged 81 children, his teammate Charles Leclerc was limited to just 29 after Ferrari spent much of the morning checking its cooling system.
He ended the day with the seventh-fastest time.
Morning pacesetter Giovinazzi ended up fifth, failing to improve on his early benchmark in the afternoon, while Toro Rosso's Alexander Albon jumped up to sixth late on with a 1m18. 649s lap on the C4 tires and was one of fo ur drivers to surpass the 100-lap mark.
Kevin Magnussen (Haas) and Williams driver George Russell were the other two aside from Gasly to pass that count, and ended the day in the eighth and ninth in the times.
Russell Williams, who missed the opening two days of the last week's first test, but was able to attempt the performance of the morning, before focusing on longer run in the afternoon.
The top 10 was Completed by Renault Daniel Ricciardo, who set the best time of 1m20.107s and logged 77 children after taking over for the afternoon from teammate Nico Hulkenberg, who propped up the times.
Lewis Hamilton enjoyed a trouble free morning focused mostly on Long runs on the C2 and C3 tires, but the same could not be said for the Mercedes teammate Valtteri Bottas – who stopped on his lap out after the afternoon with oil pressure issue.
Mercedes changed its engine as a precaution, but The bot did did it out before the end of the session and completed a further six children to end the day in the 11th.