Australia star Cummings had claimed Giroud 'pretended he couldn't speak English' when approaching the AC Milan star for his shirt following their group match in Qatar last year.
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However, Giroud later revealed he had already promised to give his jersey to Cummings' teammate Jackson Irvine after the Socceroos' 4-1 loss.
Central Coast Mariners forward Cummings, has since revealed that things have been settled between the pair for the misunderstanding, and they would send shirts to one another.
"What a legend @_OlivierGiroud," he said on Instagram.
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"Finally got my hands on your jersey haha. Your English is better than my French mon frère.
"Top man and all the best for the season. Enjoy the Vegemite bro."
The row occurred just before Christmas, and Cummings had dubbed the incident 'a storm in a teacup'.
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"It was kind of twisted a wee bit where people thought Giroud told me he didn't speak English. That wasn't the case," Cummings told The Saturday Morning Mowers Club.
"He probably didn't understand me because I speak Scottish, and I sometimes speak gibberish. 'He just didn't understand me or something, I'm not too sure. It was just a misunderstanding.
"But it's all been resolved now. I actually woke up to a message yesterday from the main man himself, Oli G, Olivier Giroud. He actually messaged me on Instagram and it turns out he's a great bloke.
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"He has offered to send me an AC Milan jersey and he has said sorry for the misunderstanding and stuff.
"It shows he is actually a good bloke. I said I am going to send him a Mariners jersey. It turns out that we're actually best mates now. So I got the last laugh."