At the time, Spiez was analyzing data related to poison gas attacks in Syria, as well as the March 4 attack using the nerve agent Novichok on Russian double agent Sergei Skripal and his daughter in the United Kingdom, they reported.
The men were returned to Russian Federation following the arrest.
A spokeswoman for Swiss intelligence told the BBC that the agency had been actively involved in "the case of the Russian spies", without mentioning the laboratory at Spiez, near Bern.
Both suspects are said to have been working for Russia's GRU intelligence service, but were not the same people accused by British authorities for the Salisbury poisoning of Skripal, a former Russian agent, and his daughter Yulia, according to the papers.
They were reportedly detained earlier this year and kicked out of the Netherlands.
Isabelle Graber said FIS agents had "participated actively in this operation together with its Dutch and British partners".
Britain says the two men are officers in Russian military intelligence - the GRU - who travelled to the United Kingdom under false names.
The Swiss AG's office said in a statement that it opened criminal proceedings at that time into two individuals on suspicion of political espionage "in a different context".
"We had several indications that there were some hacking attempts during the last few months", including attempts to plant malware that would spread to other labs, Andreas Bucher, a spokesman for the Spiez Laboratory, said by telephone.
Switzerland's foreign ministry said it summoned Russia's ambassador on Friday to "protest against this attempted attack" and demanded that Russian Federation "immediately" end its spying activities on Swiss soil.
He said no data had been stolen.
The Russian state news agency Tass quoted Stanislav Smirnov, a spokesman for the Russian embassy in Switzerland, as calling the Dutch news report 'absurd'.
However, in April Russian Foreign Minister Sergei Lavrov accused the OPCW of "manipulating" the results of the Skripal probe by omitting findings from the Spiez laboratory.
'We have seen this article and it gives rise to a lot of questions...
"Alexander Petrov" and "Ruslan Boshirov", the suspected Salisbury attackers, have been ridiculed after claiming they visited the unlikely tourist destination on the recommendation of friends.
During the freaky exchange the pair insisted they were merely tourists, despite embarking on a brief 48-hour global trip during which they travelled to Salisbury from London on two consecutive days - one of which was the day the Skripals were poisoned.
Their unlikely story has been branded "lies and blatant fabrication" by Theresa May after they appeared on the Kremlin-funded RT channel yesterday to proclaim their innocence and deny they were agents of the GRU.