Hello,

From your picture, it appears that you may have a type of Yarrow, if you are talking about the center plant growing in the shape of a little cone/x-mas tree. 

Yarrow is a common perennial and there are many varieties of it. Once it blooms, the flower color can help with a more definitive ID. Here is more information about Yarrow:

https://plants.ces.ncsu.edu/plants/achillea-millefolium/

Hope this helps!

Dawn



Yes, there are some varieties that can spread. Some will behave though. It just depends on what kind you have. 

I would just keep an eye on the area it's planted in and remove any baby sprouts as they pop up, or IF they pop up.