$re = '/(?:\*\s*\(\([^)]*(?:\)(?!\))[^)]*)*\)\))?\s*([^*]*(?:\*(?!\s*\(\()[^*]*)*)\s*/';
$str = 'Name Multiple Words Testing With 1234 Numbers and this stuff* ((Bla Bla Bla (Bla Bla) A40 & A41)) Name Multiple Words Testing With 3456 Numbers and this stuff2* ((Bla Bla Bla (Bla Bla) A42 & A43)) Name Multiple Words Testing With 78910 Numbers and this stuff3* ((Bla Bla Bla (Bla Bla) A44 & A45)) Name Multiple Words Testing With 1234 Numbers and this stuff4* ((Bla Bla Bla (Bla Bla) A46 & A47)) Name Multiple Words Testing With 1234 Numbers and this stuff5* ((Bla Bla Bla (Bla Bla) A48 & A49)) Name Multiple Words Testing With 1234 Numbers and this stuff6* ((Bla Bla Bla (Bla Bla) A50 & A51)) Name Multiple Words Testing With 1234 Numbers and this stuff7* ((Bla Bla Bla (Bla Bla) A52 & A53)) Name Multiple Words Testing With 1234 Numbers and this stuff8* ((Bla Bla Bla (Bla Bla) A54 & A55)) Name Multiple Words Testing With 1234 Numbers and this stuff9* ((Bla Bla Bla (Bla Bla) A56 & A57)) Name Multiple Words Testing With 1234 Numbers and this stuff10* ((Bla Bla Bla (Bla Bla) A58 & A59)) Name Multiple Words Testing With 1234 Numbers and this stuff11* ((Bla Bla Bla (Bla Bla) A60 & A61)) Name Multiple Words Testing With 1234 Numbers and this stuff12* ((Bla Bla Bla (Bla Bla) A62 & A63)) Name Multiple Words Testing With 1234 Numbers and this stuff13* ((Bla Bla Bla (Bla Bla) A64 & A65)) Name Multiple Words Testing With 1234 Numbers and this stuff14* ((Bla Bla Bla (Bla Bla) A66 & A67)) Name Multiple Words Testing With 1234 Numbers and this stuff15* ((Bla Bla Bla (Bla Bla) A68 & A69)) Name Multiple Words Testing With 1234 Numbers and this stuff16*';
preg_match_all($re, $str, $matches, PREG_SET_ORDER, 0);
// Print the entire match result
var_dump($matches);
Please keep in mind that these code samples are automatically generated and are not guaranteed to work. If you find any syntax errors, feel free to submit a bug report. For a full regex reference for PHP, please visit: http://php.net/manual/en/ref.pcre.php