Also in Group A are Bolivia, Uruguay, Paraguay and invitee Australia.
The Socceroos' opening match will be against 15-time Copa America champions Uruguay and their star striker Luis Suarez on June 13.
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Qatar made their debut at the tournament this year, drawing their first match against Paraguay before falling to Colombia and Argentina.
In Group A, co-hosts Argentina are joined by several other South American powerhouses.
This will be the fourth Copa America in six years but is slated to be the last one until 2024 as organisers move to a regular quadrennial format.
Qatar played in the Copa America 2019 and despite losing two of their three matches, proved a tough team, ensuring that they won't be a surprise package in their second appearance in the upcoming matches in 2020.
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Joshua says he is confident he can be victorious and if he does he will tell everyone of how he went wrong. "Win, lose or tie, I would still like to rematch him".
Four teams from each group will qualify for the quarter-finals.
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While Opec may cut output, USA producers have been happy to meet any market shortfalls with record-setting output. The CEO of Lukoil, one of Russia's biggest producers, has said he sees no reason to extend the cuts beyond March.