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You can use a combination of nested loops and the built-in min() function to identify the smallest value within a collection of nested lists in Python. Here's an example code snippet:

nested_lists = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]

smallest_value = nested_lists[0][0] # initialize smallest value to first element in the first list

for lst in nested_lists:
    for item in lst:
        if item < smallest_value:
            smallest_value = item

print(smallest_value) # output: 1

In this example, we first initialize the smallest value to the first element in the first list of the nested lists (1 in this case). Then we loop through each list (lst) within the nested lists, and for each list we loop through each item (item) within that list. If the current item is smaller than the current smallest value, we update the smallest value to be that item. Finally, we print the smallest value (1 in this case).