The Dutch coach has become the first manager in men's or women's football to reach the final of all five major international tournaments she has managed in after leading England to the Euro 2025 showpiece against Spain on Sunday (27.07.25) and the FA are delighted with her efforts in charge of the Lionesses.
Bullingham said: "I want to pay tribute to Sarina. I think her record individually is phenomenal.
"When I spoke to [the media] before the tournament I said we were lucky to have her and I still feel that way. I think she has been incredible.
"Her record of managing in five tournaments and reaching five finals is phenomenal. I don't believe anyone has been anywhere near that in the past and it will be really hard to do that in the future.
"She's a really special coach and we're delighted to have her with us."
Bullingham insists that the FA aren't concerned that Wiegman could be tempted by other jobs as she is contracted with England until 2027.
Asked if it would be difficult to persuade her to stay, he said: "Not hard at all. We are committed to her until 2027 and she is committed to us. We have a new [coaching] team coming in for her.
"We haven't quite started working on the plans for [the 2027 World Cup] but I know her focus, hopefully after success on Sunday, will shift quite quickly to that."
Bullingham believes that Wiegman's composed manner has helped England at high-pressure moments during the tournament.
The FA chief said: "I do think her tournament record is incredible but I also see the work she has done with players - the relationships and connections she builds in camps.
"She is just a cool head and the way she transmits that onto the pitch... She looks like the coolest person in the stadium.
"I have no doubts that helps in critical moments. I can only give my opinion, but she is a really special coach and we are lucky to have her."