Despite knocking Williams down four times, Eubank went on to defeat his Welsh rival on points.
Eubank Jr has since sent a message of 'good luck' to fan Calum Sovran and informed Mirror Fighting that his team are going to invite him to an upcoming event.
"He is probably not in a great place right now and pretty upset," Eubank Jr told Mirror Fighting after his victory.
"I think actually my team may have reached out to him, there is something they may be doing in terms of inviting him to an event or something like that or putting that in place.
"It is unfortunate for him that I hurt my hand and was unable to put weight behind my shots, which is why I boxed a lot more and was more defensive.
"That affected me not getting the finish but it's boxing and you have to deal with it. Good luck to the guy, I'm sure he will be okay."
The middleweight had an impressive start last weekend in Cardiff, putting Williams on the canvas three times in the opening four rounds.
Despite a knockout seemingly on the cards, Williams survived to hear the final bell.
Kalle Sauerland revealed Eubank injured his hand during the bout, preventing him from ending proceedings in style.
Despite his injury, Eubank believes it was a 'dominant performance' and is delighted that his fight broke record numbers on TV.
"Great, the job was done to perfection and it's always an amazing feeling after a fight knowing you did everything right," he continued.
"It has set up all the big fights by making a statement, it was a convincing and dominant performance and it is great to now sit back and relax.
"It's a great achievement to know that I broke a record in terms of viewing figures on free-view TV and it shows how much interest is behind my career.
"People really do love to watch me fight and it is awesome to know. Something like that is going to make them push me harder and set up these big fights."
Eubank eyes Brook fight
Kell Brook is currently preparing to face arch-rival Amir Khan next and if he wins then Eubank is interested in fighting him.
Despite Eubank operating at middleweight (160lbs) and Brook fluctuating between welterweight and junior middleweight (147lbs and 154lbs), the "NextGen" star has not ruled it out.
"Absolutely it is a fight that many boxing fans would love to see," Eubank Jr told Mirror Fighting. "He shared the ring with Golovkin when I was supposed to.
"Because of that I have always had a disposition towards him, he was the reason I didn't get that fight. He is best buddies with Billy Joe Saunders so that automatically makes him an enemy of mine.
"I actually don't like his character and how he holds himself so that would definitely be a fight I would be willing to take."
Andrade could vacate belt
Ultimately, Eubank Jr is focused on becoming world champion at middleweight. He may have an even better chance of fulfilling his dreams with Demetrius Andrade contemplating a move to super middleweight.
Speaking to Boxing Scene, promoter Eddie Hearn is unsure if Andrade can make the 160lb limit going forward.
We've gotta do something, right? We can't just keep taking [low level] fights."
"He's struggling to make 160," Hearn stated. We've got to try and make something happen."
Eubank had previously been in talks with Andrade and is also eyeing Gennadiy Golovkin - the IBF champion.