Looking to see if your plant has the woody, spiny stems of
Alyssum spinosum would confirm it more easily. Here are some photos to explain what I mean:
http://www.hessenhof.nl/al/a14...
This one is the normal white-flowered form of
Alyssum spinosum but it shows the plant form well:
http://pereespinet.net/FOTOSFL...
The plant forms a dome of spiny stems. Also, the leaves are grey and dry-textured, rather than soft and green, as on annual alyssum (
Lobularia maritime). Also, the
Alyssum spinosum 'Roseum' flower colour is pink, rather than purple as on your plant, which, with all the points I mentioned, seems to be
Lobularia maritima.
