Extract tuples with specified common values in another column in SQL

I have a dataset that look like:

 Col1    Col2    
 1        ABC 
 2        DEF
 3        ABC 
 1        DEF 

Expected output:

Col1     Col2    
 1        ABC 
 1        DEF

I want to extract only those IDSs from Col1 which have both values ABC and DEF in the column.

I tried the self-join in SQL but that did not give me the expected result.

SELECT DISTINCT Col1
FROM db A, db B
WHERE A.ID <> B.ID
    AND A.Col2 = 'ABC'
    AND B.Col2 = 'DEF' 
GROUP BY A.Col1

Also, I tried to the same thing in R using the following code:

vc <- c("ABC", "DEF")
data1 <- db[db$Col2 %in% vc,]

Again, I did not get the desired output. Thanks for all the pointers in advance.