Williams said: "I humbly thank the ITF for any consideration given to all the facts in this case. They will have my full support."
She also wrote: "Yes, we have broken down so many barriers - however there are a plethora more to go. This or anything else will not stop me from pouring love, light and positivity into everything that I do. I will continue to take a lead and stand up for what's right."
Nastase, for his part, was unrepentant, saying that he didn't believe his remarks at a news conference on Friday about Williams' baby were racist.
"I want to know what word I used is racist?" he said yesterday to The Associated Press.
He added that he is a friend of Williams.
As for what happened during the matches against Britain, Nastase acknowledged: "Yes, I lost my temper."
But he called his punishment "crazy".
Nastase earned the nickname "Nasty" for his on-court outbursts and gamesmanship in his playing heyday in the 1970s. But it also described his game, which earned him two Grand Slam singles titles and more than 100 ATP titles. He's a member of the International Tennis Hall of Fame.
Reactions in Romania to Nastase's outburst have been mixed.
George Cosac, the chairman of the Romanian Tennis Federation, defended Nastase by suggesting he was picked on by the British officials. Ion Tiriac, a businessman and Nastase's old doubles partner, also stood by him, criticising Konta for walking off the court.
However, many Romanians were critical of Nastase on social media, saying he embarrassed himself and Romania.
Williams, meanwhile, retained her No 1 spot in the WTA rankings, despite not playing a match since January. Thanks to a calendar quirk, Williams moved up one spot from No 2, swapping places with Angelique Kerber.
The return to No 1 gives the 35-year-old American her 317th week there. Her baby is due in autumn, and spokeswoman Kelly Bush Novak says Williams intends to return to the tour next year.
- The Telegraph, AP