Here is an article I just posted on the subject using Interfaces:
https://datajugglerblazor.blogspot.com/2020/01/how-to-use-interfaces-to-communicate.html
In this example, the Index page is an IBlazorComponentParent object.
On the Login Component, the cool part is to set the Parent property, you just set Parent=this:

The way it works is the setter for the Parent property on the Login component calls the Register method on the parent:
[Parameter]
public IBlazorComponentParent Parent
{
get { return parent; }
set
{
// set the parent
parent = value;
// if the value for HasParent is true
if (HasParent)
{
// Register with the parent to receive messages from the parent
Parent.Register(this);
}
}
}
Then on the parent component or page, the Register method stores the reference to the component:
public void Register(IBlazorComponent component)
{
// If the component object and Children collection both exist
if (NullHelper.Exists(component, Children))
{
// If this is the Login component
if (component.Name == "Login")
{
// Set the Login control
this.Login = component as Login;
}
// add this child
Children.Add(component);
}
}
At this point, the parent and the Login page can communicate with each other as they both contain a ReceiveData method where you can send messages.