Levete and Kaplicky eventually divorced, but continued to work together until his sudden death in Prague in 2009, albeit with a strained relationship towards the end.
"Jan and I almost had two offices for some time," said Levete. "The people working with me stayed with me, and the people working with him would have gone with him if he had not died."
After Kaplicky's death, Levete set up her own practice, AL_A with four other directors.
"The change happened under traumatic circumstances," she said. "It was a very difficult time and I underestimated how difficult the transition would be.
"We had a significant reputation as Future Systems, and starting AL_A, we had that as our heritage but not our future.
"It took a good two or three years for the office to bed down and establish its own identify."
AL_A is now thriving. In addition to the Lisbon cultural center, and a 140,000 square-meter hotel and shopping center in Bangkok, Levete was chosen in 2012 as the winning design for a new underground extension to the Victoria and Albert Museum in London.
"We are creating a vast courtyard in front of the building, it's going to be the first porcelain courtyard," said Levete.
"It will be like an outdoor room where people can meet and hang out, so they can delay the decision to enter the museum."
On several occasions, Levete has collaborated with the Indian-born British sculptor Anish Kapoor, including on a design for a new subway station in Naples. Despite 10 years of work, this is now on hold after the contractor building it went bankrupt.
Amanda Levete is a judge for the Designs of the Year Award. All nominations are on display at the Design Museum, London.