Gayson is known for eliciting one of Bond's most famous catchphrases.
After losing a few hands she suggests raising the stakes, to which Bond replies: 'I admire your courage, Miss, er?'
"The British film industry was in the doldrums and Sean and James Bond pulled it up by its shoestrings".More news: Donald Trump, Kim Jong Un prepare for Singapore summit
Gayson's voice was dubbed in the two Bond films by German voice actress Nikki Van Der Zyl. Over a game of cards, Bond asks for her name.
The James Bond franchise's producers, Michael G Wilson and Barbara Broccoli, paid tribute to Gayson in a separate comment posted on the official James Bond Twitter account. Trench says "I admire your luck, Mister...?"
Unlike the other women on the Bond girl list, Gayson played the same character in more than one of the extremely successful franchise's films. The day took off from that moment. "No" and reprised the role in 1964's "From Russia With Love". Encountering the British spy at Le Cercle Club casino, Gayson's character introduces herself, saying, "Trench, Sylvia Trench".More news: #CanadianGP triumph means a lot, says Vettel in his 50th F1 win
In a 2012 interview with the Daily Record, Gayson explained that she helped Connery overcome nerves on the very first day of production when he kept bumbling his now-iconic opening line. She might have had a different slice of Bond movie immortality had the original plan - that she play the recurring role of Miss Moneypenny - gone ahead.
Gayson was born in Surrey in 1928.
Eunice - who also appeared in movies such as 'The Revenge of Frankenstein' and classic TV shows 'The Saint' and 'Avengers' - previously admitted shooting the scene hadn't been easy as her co-star was nervous and struggled with the line.More news: Merkel: G7 agree on commitment to rules-based trade