Calling async method in IEnumerable.Select

I have the following code, converting items between the types R and L using an async method:

class MyClass<R,L> {

    public async Task<bool> MyMethodAsync(List<R> remoteItems) {
        ...

        List<L> mappedItems = new List<L>();
        foreach (var remoteItem  in remoteItems )
        {
            mappedItems.Add(await MapToLocalObject(remoteItem));
        }

        //Do stuff with mapped items

        ...
    }

    private async Task<L> MapToLocalObject(R remoteObject);
}

Is this possible to write using an IEnumerable.Select call (or similar) to reduce lines of code? I tried this:

class MyClass<R,L> {

    public async Task<bool> MyMethodAsync(List<R> remoteItems) {
        ...

        List<L> mappedItems = remoteItems.Select<R, L>(async r => await MapToLocalObject(r)).ToList<L>();

        //Do stuff with mapped items

        ...
    }
}

But i get error:

"Cannot convert async lambda expression to delegate type 'System.Func<R,int,L>'. An async lambda expression may return void, Task or Task<T>, none of which are convertible to 'System.Func<R,int,L>'."

I believe i am missing something about the async/await keywords, but i cannot figure out what. Does any body know how i can modify my code to make it work?