Both RasenBallsport Leipzig, enjoying a marvellous debut campaign in Germany's Bundesliga, and Austrian Bundesliga leaders Red Bull Salzburg are on course to qualify for the Champions League based on their current league positions.
A total of 22 teams automatically entered the 2016-17 UEFA Champions League group stage with the remaining slots taken by the 10 sides who come through qualifying.
A UEFA statement said: "We cannot comment at this stage on what is a hypothetical question.
"(There will be) more concrete information from the beginning of June, when the list of participating clubs taking part in UEFA European competitions is published."
Article 5 of UEFA's European Competitions Regulations states "no club participating in a UEFA club competition may, either directly or indirectly hold or deal in the securities or shares of any other club participating in a UEFA club competition".
In the case of multiple teams with the same owners qualifying, only one of them would be admitted to a UEFA club competition, it said.
Oliver Mintzlaff, global head of soccer for Red Bull and RB Leipzig CEO, was quoted as telling German news agency SID: "If we qualify there is no reason why we should have any doubts about playing in Europe next season."
A spokesman for Red Bull Salzburg said: "Even UEFA said that any resumption regarding this topic is only speculation - nothing more. And FC Red Bull Salzburg are not willing to take part in any kind of speculation."
(Reporting by Ed Dove; Editing by Alison Williams)
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