A Virtual Private Network (VPN) is best suited for securely connecting remote branches to the corporate network because it creates a virtual and encrypted tunnel between two endpoints over a less secure network, typically the internet. VPNs ensure that data transmitted between these locations remains private and protected from eavesdropping or interception. MPLS provides reliable connections but is not specifically designed to secure data in transit. While VLANs can segment network traffic within a local network, they do not extend to remote locations. Wi-Fi calling is not related to connecting branches and focuses on voice over IP services. SSL is a protocol for securing individual connections between web clients and servers, not network branches. Leased lines provide direct connections but are expensive and do not inherently encrypt data.