Kuwait's Parliament held a closed session on Tuesday to discuss the country's financial position. The session was attended by the Managing Director of KIA Bader Al-Saad.
KIA owns stakes in companies like Citigroup, Daimler AG and Agricultural Bank of China.
The KIA would consider buying a stake in British lender Royal Bank of Scotland but no offer has yet been made, Al-Saad said on Tuesday.
"They did not offer us a stake... When we get an offer, we will look at it," he said.
Britain, which bailed out RBS and rival Lloyds during the credit crisis, could start selling its stake in RBS next year, a senior RBS executive said last week.
Earlier this year, Qatar said it was open to buying stakes in part state-owned lenders RBS and rival Lloyds.
The British government ended up with stakes of 83 percent in RBS and around 40 percent in Lloyds after the bail outs.
The Sunday Telegraph, citing sources close to the process, said in May that Britain would target institutional investors and sovereign wealth funds from the Middle East and Asia.
