At those words Francis embraced Arthur, he felt so happy, did this mean Arthur was his now? He started to cry tears of happiness. "Je t'aime! Je t'aime, mon Angleterre!"
Arthur a bit surprised at the actions of the Frenchman, who's shoved his face into the Brit's back and cried his happiness. Arthur felt a few tears prick his vision and he clung to the crying Frenchman. Did this mean he wouldn't be alone now, truely?
After the two men stopped crying (mostly) and acepted their feelings, the relaxed for the day.
Towards the end of the day, the Brit mumbled. "I love you too," and that's where their relationship took off from.
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Translation
Je t'aime : I love you
Je t'aime mon Angleterre: -
I love you my England.