"While we welcome Michael Schumacher back to Formula One, the fact is any form of in-season circuit testing is strictly prohibited, a regulation clearly laid out by the FIA and adhered to by all of the teams, " said Williams in a statement.
Two-time world champion Fernando Alonso finished fourth for Renault, just ahead of Hamilton, who had to nurse home his soft tires on the testing Hungaroring circuit after being forced to run an extended third stint.
The Briton, who has been testing at the Circuit de Catalunya this week, says he is feeling much more at home back in Europe.
After four days testing at the Andalusian circuit, the first competitive outing will come at the Australian Grand Prix on March 17.
Hamilton, Formula One's first black driver, was booed and insulted by spectators, some wearing wigs with blackened faces, who shouted racial abuse during testing at the Montmelo circuit in Barcelona in February.
In Bahrain, Felipe Massa went quickest for Ferrari before a sandstorm forced the rest of the day's testing at the Bahrain International Circuit to be cancelled.
Svindal earned his first podium finish at Bormio, which is considered one of the most testing courses on the World Cup circuit.
But a rule change, announced on Friday, will allow one day of testing at a non-F1 circuit if the substitute driver has not raced in F1 for two seasons.
In March 1986, Williams suffered spinal cord injuries in a car accident after leaving the Paul Ricard Circuit in France, where he had been watching testing.
At the Barcelona circuit, which hosts the Spanish Grand Prix, many cars set lap times in testing this month that were quicker than pole position for the 2012 race.
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