@karthik_holla,
@Srikanth_Katakam and @Appium_Master (Both are my accounts)
Whatever the test I executed using selenium grid was with Native apps/Hybrid apps. So Just now I tried with chrome browser and I was able to successfully execute the single scripts on both the devices Sequential one after another.
[I'm using Galaxy Note 2 and Galaxy Note 3 (both are in Android kit version)]