I get this warning in mysql, 

    [Warning] Aborted connection 21 to db: 'MyDB' user: 'MyUser' host: 'localhost' (Got an error reading communication packets)

 I have been through few topics in google and according to some suggestion I increased the `max_allowed_packet` from `128 to 512 to 1024` still the same behaviour. 

I am using Drupal 7, and yes there are lots of blob data types, but `1024 Mb` of `max_allowed_packet` should be enough in my opinion.

Any other workaround how to overcome this warning ?

EDIT:

Added some settings as @Rolando's suggestions/answer, I still get the same warning.

My mysql config looks like this:

    [client]
    port		= 3306
    socket		= /tmp/mysql.sock
    default-character-set = utf8
    
    [mysqld]
    port		= 3306
    socket		= /tmp/mysql.sock
    skip-external-locking
    key_buffer_size = 16K 
    max_allowed_packet = 1024M 
    table_open_cache = 128 
    sort_buffer_size = 64K
    read_buffer_size = 256K
    read_rnd_buffer_size = 256K
    net_buffer_length = 2K
    thread_stack = 192K
    # Query cache disabled
    thread_cache_size = 8
    myisam-recover = BACKUP
    max_connections = 100
    thread_concurrency = 10
    tmp_table_size = 128M
    max_heap_table_size = 128M
    log_error                = /var/log/mysql/mysql-error.log
    log_slow_queries        = /var/log/mysql/mysql-slow.log
    long_query_time = 2
    
    log_warnings = 2
    
    server-id	= 1
    binlog-format = row
    replicate-same-server-id = 0
    auto-increment-increment = 2
    auto-increment-offset = 1
    log_bin = mysql-bin
    log-slave-updates
    relay-log=mysqld-relay-bin
    expire_logs_days        = 10
    max_binlog_size         = 100M
    
    innodb_data_home_dir = /var/db/mysql
    innodb_data_file_path = ibdata1:10M:autoextend
    innodb_log_group_home_dir = /var/db/mysql
    innodb_buffer_pool_size = 8G
    character-set-server = utf8
    #innodb_additional_mem_pool_size = 2M
    innodb_log_file_size = 2047M
    innodb_log_buffer_size = 32M
    innodb_flush_log_at_trx_commit = 2
    innodb_thread_concurrency = 8
    innodb_lock_wait_timeout = 50
    innodb_flush_method = O_DIRECT
    
    [mysqldump]
    quick
    quote-names
    max_allowed_packet = 16M
    default-character-set = utf8
    
    [mysql]
    default-character-set = utf8
    
    [myisamchk]
    key_buffer_size = 32M
    sort_buffer_size = 32M
    
    [mysqlhotcopy]
    interactive-timeout
    
    [mysqld_save]
    syslog

My application uses only InnoDB, but there are few database like mysql, which came with the standard mysql installations are only the ones which uses MyISAM engine type, I guess that should not be my concern though.

As you can see I have replication too, the warning is the same one in replicated server too, whose config is identical as this.