connect lambda function to on-premises database

A company has an AWS account used for software engineering. The AWS account has access to the company's
on-premises center through a pair of AWS Direct Connect connections. All non-VPC traffic routes to the virtual
private gateway.
A development team recently created a AWS Lambda function through the console. The development team
needs to allow the function to access a database that runs in a private subnet in the company's data center.
Which solution will meet these requirements?