"Because of the (World Anti-Doping Agency) non-compliance declaration of Kenya and Russia and the related substantial allegations, the Olympic Summit considers the 'presumption of innocence' of athletes from these countries being put seriously into question," International Olympics Committee chief Thomas Bach said in a statement.
The International Association of Athletics Federations (IAAF) on Friday voted to uphold Russia's suspension, first imposed in November after a WADA report unveiled state-sponsored doping and widespread corruption in Russian athletics.
"As a result, every IF (international federation) should take a decision on the eligibility of such athletes on an individual basis to ensure a level playing field in their sport," Bach continued in a stark warning.
"In this decision-making process, the absence of a positive national anti-doping test should not be considered sufficient by the IFs. This means that the respective IF should take into account other reliable adequate testing systems in addition to national anti-doping testing.
More From This Section
Bach added that Russian athletes who pass an individual test by the IAAF would compete under their nation's flag at the Rio Games.
"If there are athletes qualified then they will compete as members of the team of the Russian Olympic Committee," Bach told reporters.