It will take place at midday.
Rosenborg complete Group B and are a side Celtic know well having beat the Norwegian champions in a Champions League qualifier this summer.
The Gunners one of the 12 top seeds in the draw and were drawn into Group L with Greek side PAOK drawn as the second team into the group. His Gunners side tragically crashed out of the semi-finals to the eventual winners Atletico Madrid.
Scottish giants Celtic and Rangers are also involved.
Pot three includes Real Betis, Red Bull Leipzig, Eintracht Frankfurt, Bordeaux and Rennes.
The Scottish giants both face hard draws as they aim to negotiate the group stages.
With the Clarets knowing a 2-0 win on Thursday would send them through, Sam Vokes failed to convert two good chances and hit the post, Ashley Barnes shot just wide and Dwight McNeil was denied by a good save before Olympiakos netted through Daniel Podence in the 83rd minute.
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And although Matej Vydra poked home to level shortly after the restart that was as good as it got for Burnley, whose focus reverts sharply to the Premier League where they placed seventh last term.
Burnley boss Dyche said: "It was an excellent performance from start to finish".
"And this problem, if we can together arrange (a solution), it's better".
"(I was) very pleased and very proud of the players, without a doubt".
UEFA argued that AC Milan did not meet a break-even requirement under its Financial Fair Play regulations, adding the club had not provided sufficient evidence of its financial stability.
Goal brings you everything you need to know about the Europa League group stage draw, including when and where it takes place, how to watch it live for free and more.
The first round of group matches is on September 20.