it is a very interesting Eagle - can You post better pictures avers and revers?.
With the probability of 99% - looks to me like so called French version 1939 by well known maker Alu... of Paris.
If this particular Eagle is related to SBSK (of which I am not sure). The date is interesting - it is just 4 days - before September 30th 1940 that was a day where orders had been issued for SBSK to move form Palestine to Egypt.
What is interesting about this Eagle - It looks like it is in mint condition, that suggests that it had some sentimental value for its owner.
Generally speaking - it is hard to find actual specimens of Alu... Paris Eagles with SBSK items - as only a few officers / NCO had been send to Syria to form the unit - majority of volunteers arrived as "civilians" form various places starting from Poland, Romania, Hungary and finishing on Shanghai.
Per my observations, Eagles from the "Syrian period of SBSK" are very rare and, in fact, research is not conclusive as to the actual design of those Eagles (as they had been field made). Number of the field made Eagles, use Alu..as the initial pattern for a cast.
My bet - would be - that this Eagle actually belonged to a person who crossed over to Switzerland with 2nd Rifles Div and / or somebody who "crossed" to England with 1st Grenadiers Div, or somebody who did stay in France.