Gutter overflowing at valley intersection

We have a hip roof and there is a valley where the section of roof over the porch meets the rest of the house. So we have an inside "L" section of guttering at the bottom of the valley. When we get fairly heavy rain, the water overshoots the gutter at the "L" and spills into the landscaping. If the rain keeps up more than a few minutes, this obviously causes problems with ponding and I am concerned about eventual seepage into the basement.

Is there an easy fix for this? It seems if I could attach some flashing or something to the outside edge of the corner gutter, it might deflect the water back down into the gutter. Does that make sense? Or is there a standard solution to this type of problem?

 

I think I found the solution:

https://php2.secure-shopping.com/gutterworks/product.php?productid=102

 

Yes, that is what you need. Or you could make them from flashing material and attach with pop rivets. Good luck.

 

Are the gutters channeling the water off that does stay in? You should try the product mentioned previously--you may be able to find something locally.
Also make sure that the gutter corner overflowing isn't lower than the horizontal runs that take water away. You may want to try to raise that corner somewhat to help more. Your downspouts should be the lowest point of gutter system, with horizontal runs sloping downward toward them.