"holding talks" is a correct and commonly used phrase in written English.
Example: The two leaders are currently holding talks to negotiate a peace agreement.
Executives of the two companies had acknowledged holding talks.
Sol Campbell is in Glasgow holding talks with Celtic over a potential move.
European Commission Vice President Maros Sefcovic has reportedly proposed holding talks to resolve the dispute.
"My representatives will be holding talks and my contract will depend on how those talks go.
After a hot-headed campaign, he has turned conciliator and statesman, holding talks with opposition leaders.
The company has been holding talks with Cadbury over what would constitute an acceptable bid.
The company began holding talks with both Gores and the other company.
ECOWAS had taken the lead, holding talks with the soldiers and pro-democracy groups since October.
Political opinion is increasingly wary of using force against insurgents and many instead advocate holding talks.
His agent Tony McGill confirmed that he was holding talks with interested clubs.
On October 20th he aired the possibility of holding talks with the national government.
