Rice could make his England debut against the Czech Republic at Wembley on Friday as the Three Lions look to get their Euro 2020 qualification campaign underway.
The incident has overshadowed Rice's first England call-up since making the decision to switch global allegiance from Republic of Ireland, but Southgate said it will not affect the 20-year-old's chances of featuring at Wembley.
Today however, he was forced to return to comments he made on social media in 2015 when he wrote to one of his Ireland U-17s teammates, "Up the RA - Wait till we draw England". "It that read: "#UPTHERA".
Southgate, too, said he would seek a discussion with Rice, but said the incident would not have an influence on whether he hands the player his maiden England cap.
"While my naïve words were not meant to be a political opinion and do not represent who I am, I sincerely apologise for any offence caused".
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Southgate, who has been credited with helping to reconnected the England football team with the general public since taking over in 2016, is confident fans will be able to forgive Rice.
"But sometimes, when the pool is smaller, which is going to be the case for England whilst I'm the England manager, then you have to be a bit more creative in the way you think and you have to approach things and solve the problem in a different way".
Speaking to the media yesterday, he said: "As you can hear, I am English".
"We was watching the TV and obviously it came up that I was in the squad, and that feeling, bursting with pride. I am from England", he said.
"From our point of view, there is no doubt it was a massive blow to lose Declan because he is a player who could have been vital for Ireland for the next 10 years, but I would urge everyone in Ireland not to attack him for what has happened", he added.
"I understand that it's not a situation that should just be dismissed but equally the context, the period of time that's passed and his age at the time is all relevant in how we should deal with it".