Switzerland gave tennis fans in the country still mourning the retirement of Roger Federer something to celebrate when their women's team beat Australia in Glasgow on Sunday to win the Billie Jean King Cup for the first time.

Two months after Federer, one of the greatest players in the game's history, bid a tearful farewell to tennis in London, his compatriots Belinda Bencic and Jil Teichmann both enjoyed singles victories as Switzerland inflicted more misery on Australia in a competition formerly known as the Federation Cup.

It was Switzerland's third appearance in the final. They lost to the now-banned Russia team last year – the first edition of the rebranded Billie Jean King Cup – and were also runners-up when Martina Hingis was the key figure in their side in 1998.

"What happened last year gave us extra motivation," said Bencic, the world No. 12.

"We were so heartbroken, I don't think I have ever cried so much."

"Afterwards Jil said we would win it next year and we have. I'm so incredibly proud."

Switzerland was superb in Glasgow, not losing a "live" match despite a tough draw.

For Australia, it marked yet another disappointment. Since winning in 1974, they have now appeared in 10 finals, losing every one of them.

King was among the crowd in Glasgow on Sunday and came on the court to high-five all the players before the tie started.

Australia's Storm Sanders, unbeaten in singles all week, defied her lowly world ranking of 237 before Teichmann triumphed 6-3, 4-6, 6-3 in a match lasting over two hours.

Bencic, who won singles gold and doubles silver at last year's Tokyo Olympics, again impressed in national colors as she overpowered Ajla Tomljanovic 6-2, 6-1 to avoid a deciding doubles clash.

"I'm extremely proud of my team," said Australia captain Alicia Molik. "It was a phenomenal effort all week from the Aussies. We gave it everything.

"But credit to the Swiss team – it was flawless tennis from Belinda."